Nikolaos Papageorgiou's Books

Research Topics in Analysis, Volume I

Grounding Theory

By: Shouchuan Hu,Nikolaos S. Papageorgiou

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Research Topics in Analysis, Volume I

Grounding Theory

By: Shouchuan Hu,Nikolaos S. Papageorgiou

This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis. This work empowers young researchers with all the necessary techniques to explore the various subfields of this broad subject, and introduces relevant frameworks where these tools can be immediately deployed. Volume I starts with the foundations of modern analysis. The first three chapters are devoted to topology, measure theory, and functional analysis. Chapter 4 offers a comprehensive analysis of the main function spaces, while Chapter 5 covers more concrete subjects, like multivariate analysis, which are closely related to applications and more difficult to find in compact form. Chapter 6 deals with smooth and non-smooth calculus of functions; Chapter 7 introduces certain important classes of nonlinear operators; and Chapter 8 complements the previous three chapters with topics of variational analysis. Each chapter of this volume finishes with a list of problems – handy for understanding and self-study – and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the tools and techniques developed in this volume. By offering a clear and wide picture of the tools and applications of modern analysis, this work can be of great benefit not only to mature graduate students seeking topics for research, but also to experienced researchers with an interest in this vast and rich field of mathematics.

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544

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Springer Nature

Published Date

ISBN 10

3031178378

ISBN 13

9783031178375

Exercises in Analysis

Part 2: Nonlinear Analysis

By: Leszek Gasiński,Nikolaos S. Papageorgiou

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Exercises in Analysis

Part 2: Nonlinear Analysis

By: Leszek Gasiński,Nikolaos S. Papageorgiou

This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods. Each of five topics corresponds to a different chapter with inclusion of the basic theory and accompanying main definitions and results,followed by suitable comments and remarks for better understanding of the material. Exercises/problems are presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic. This nearly encyclopedic coverage of exercises in mathematical analysis is the first of its kind and is accessible to a wide readership. Graduate students will find the collection of problems valuable in preparation for their preliminary or qualifying exams as well as for testing their deeper understanding of the material. Exercises are denoted by degree of difficulty. Instructors teaching courses that include one or all of the above-mentioned topics will find the exercises of great help in course preparation. Researchers in analysis may find this Work useful as a summary of analytic theories published in one accessible volume.

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1069

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Springer

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ISBN 10

3319278177

ISBN 13

9783319278179

Applied Nonlinear Functional Analysis

An Introduction

By: Nikolaos S. Papageorgiou,Patrick Winkert

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Applied Nonlinear Functional Analysis

An Introduction

By: Nikolaos S. Papageorgiou,Patrick Winkert

The second edition covers the introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. The new edition includes some new topics on Banach spaces of functions and measures and nonlinear analysis.

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734

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Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3111286959

ISBN 13

9783111286952

Functional Materials in Biomedical Applications

By: Costas Demetzos,Natassa Pippa,Nikolaos Naziris

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Functional Materials in Biomedical Applications

By: Costas Demetzos,Natassa Pippa,Nikolaos Naziris

This book presents modern trends that regard the utilization of advanced functional materials for the development of innovative pharmaceuticals. Such materials include classes of lipids, polymers, proteins, and peptides, as well as inorganic materials, which find application in nanomedicinal products, drug delivery systems, medical devices, biotechnological products, and several other technologies. These products are promising for the therapy and diagnosis of diseases. Special attention is given to the available analytical techniques utilized for the evaluation of materials, their interactions, and their properties as well as the functionality of the final pharmaceutical forms. In addition, scale-up opportunities and limitations of nanomaterials and the current and emerging challenges in their clinical translation, with reference to relative regulatory aspects, are discussed. The book covers the latest advances in functional materials for biomedical applications and will serve as a guide for the industry and aid future research. It will be useful for upper undergraduate students and graduate students, young researchers (in the fields of pharmaceutics and materials sciences), scientists who want to enrich their knowledge on advanced drug delivery nanocarriers and their applications, researchers in the Big Pharma and readers who want to learn more about the role of nanoscience in the design and development of nanomedicines.

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478

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CRC Press

Published Date

ISBN 10

1000909646

ISBN 13

9781000909647

The Political Economy of Ethnic Conflict in Sri Lanka

Economic Liberalization, Mobilizational Resources, and Ethnic Collective Action

By: Nikolaos Biziouras

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The Political Economy of Ethnic Conflict in Sri Lanka

Economic Liberalization, Mobilizational Resources, and Ethnic Collective Action

By: Nikolaos Biziouras

At the point of independence in 1948, Sri Lanka was projected to be a success story in the developing world. However, in July 1983 a violent ethnic conflict which pitted the Sinhalese against the Tamils began, and did not come to an end until 2009. This conflict led to nearly 50,000 combatant deaths and approximately 40,000 civilian deaths, as well as almost 1 million internally-displaced refugees and to the permanent migration abroad of nearly 130,000 civilians. With a focus on Sri Lanka, this book explores the political economy of ethnic conflict, and examines how rival political leaders are able to convince their ethnic group members to follow them into violent conflict. Specifically, it looks at how political leaders can influence and utilize changes in the level of economic liberalization in order to mobilize members of a certain ethnic group, and in the case of Sri Lanka, shows how ethnic mobilization drives can turn violent when minority ethnic groups are economically marginalized by the decisions that the majority ethnic group leaders make in order to stay in power. Taking a political economy approach to the conflict in Sri Lanka, this book is unique in its historical analysis and provides a longitudinal view of the evolution of both Tamil and Sinhalese ethnic drives. As such, this interdisciplinary study will be of interest to policy makers as well as academics in the field of South Asian studies, political science, sociology, development studies, political economy and security studies.

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241

Publisher

Routledge

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ISBN 10

1317805534

ISBN 13

9781317805533

Atlas of the Diabetic Foot

By: Nikolaos Katsilambros,Eleftherios Dounis,Konstantinos Makrilakis,Nicholas Tentolouris,Panagiotis Tsapogas

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Atlas of the Diabetic Foot

By: Nikolaos Katsilambros,Eleftherios Dounis,Konstantinos Makrilakis,Nicholas Tentolouris,Panagiotis Tsapogas

Foot ulcers occur in approximately 15% of the patients with diabetes mellitus in their lifetime, with a major impact on their quality of life. Many hospital admissions related to diabetes are due to foot ulcers, which can result in prolonged hospital stay and increased morbidity and mortality. The majority of lower limb amputations are performed in patients with diabetes every year (80,000 at least in the USA). Most of the diabetes-related foot problems can be prevented or their severity reduced by early detection and treatment. This book contributes to improved foot care through raised awareness of prevention, clinical manifestations, diagnosis and management among healthcare professionals. This comprehensive atlas, now in a second edition, provides: 520 colour photographs, graphs, tables and imaging studies Educational examples taken from genuine case reports A reference guide for identifying patients at risk for foot problems Illustration of common problems such as neuropathic and neuroischaemic ulcers, ischaemia and infection Introduction to new technologies and bioengineered materials used for the treatment of foot ulcers This book will be of interest to diabetologists, endocrinologists, podiatrists, specialist nurses, general practitioners, surgeons and clinical researchers.

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260

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John Wiley & Sons

Published Date

ISBN 10

1444317555

ISBN 13

9781444317558

Economic Growth and Long Cycles

A Classical Political Economy Approach

By: Nikolaos Chatzarakis,Persefoni Tsaliki,Lefteris Tsoulfidis

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Economic Growth and Long Cycles

A Classical Political Economy Approach

By: Nikolaos Chatzarakis,Persefoni Tsaliki,Lefteris Tsoulfidis

Contemporary capitalism is characterized by periods of vigorous economic growth and periods of slow or even negative growth. This book draws on the classical political economy approach to consider both economic cycles and economic growth and draw conclusions about the inherent instability of the modern economy. The book shows that the work of the old classical economists (Smith and Ricardo) and Marx is theoretically sound and capable of providing answers to both growth and cycles. It also demonstrates the potential and natural integration of growth and cycles in a single model. The microeconomic foundation of this model is the labor theory of value, which continues with the General Law of Capital Accumulation, the Law of the Falling Rate of Profit, and the movement of the Industrial Reserve Army of Labour. Finally, a dynamic model of growth-cum-cycles is constructed consisting of the evolution and interaction of five key variables, namely, the rate of profit, the propensity to invest in fixed capital, technological change, the reserve army of labour, and the rate of capital devaluation. The analysis demonstrates that economic growth and cycles are not disconnected from each other, as they have been treated in the literature, but rather interdependent aspects of the same evolutionary process of a capitalist economy. This book will interest readers in the history of economic thought, economic growth and development, macroeconomics, and political economy.

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337

Publisher

Taylor & Francis

Published Date

ISBN 10

1040031072

ISBN 13

9781040031070

Marketing and Management Sciences

Proceedings of the International Conference on ICMMS 2008

By: Damianos P. Sakas,Nikolaos Konstantopoulos

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Marketing and Management Sciences

Proceedings of the International Conference on ICMMS 2008

By: Damianos P. Sakas,Nikolaos Konstantopoulos

This book is a collection of selected papers presented at the International Conference of Marketing and Management Sciences held from 23 to 25 May 2008 in Athens, Greece. The papers focus on how globalization has had significant impact on companies, societies and individuals alike. They discuss the need for new strategies and practices that can help cope with changes that arise due to globalization. Written in a simple manner, this book will be of interest to academics studying and teaching marketing and management courses and to managers dealing with strategies to cope with changes due to globalization.

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640

Publisher

World Scientific

Published Date

ISBN 10

1848165099

ISBN 13

9781848165090

The Refugee and Immigration Phenomenon in Lesvos (Greece) and the Attitudes of the Local Community

By: Nikolaos Nagopoulos,Nikolaos Panagos,Kostas Rontos

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The Refugee and Immigration Phenomenon in Lesvos (Greece) and the Attitudes of the Local Community

By: Nikolaos Nagopoulos,Nikolaos Panagos,Kostas Rontos

The recent refugee and immigrant inflows from the Middle East, Northern Africa and Asia have become massive, and concern millions of people who attempt to be channelled into Europe through specific gateways in Southern-European areas. Among those, the Greek islands of the Eastern Aegean Sea, Lesvos and Chios, are serving as the main entrance-point for refugee and migration flows. This book highlights the attitudes of the residents of Mytilene, Lesvos, regarding the way the immigrant-refugee issue has affected their everyday lives and the economy of the island. It is based on a large-scale primary survey using statistical analysis and represented by appropriate statistical tables and figures that make the whole text engaging. As the issues investigated here are of great contemporary interest, academics, teachers, social scientists, students, policy makers, managers in the private sector, and NGOs will find the book interesting, informative and useful. The book will also prove a useful tool for a better policy implementation concerning recent massive migration flows towards Europe.

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161

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1527532933

ISBN 13

9781527532939

The European Union in the 21st Century

By: Nikolaos Zahariadis

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The European Union in the 21st Century

By: Nikolaos Zahariadis

A fresh introduction to the European Union that helps students take an analytical look at this dynamic institution.

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384

Publisher

CQ Press

Published Date

ISBN 10

1483310655

ISBN 13

9781483310657

Educating the Developing Mind

A Developmental Theory of Instruction

By: Andreas Demetriou,George Spanoudis,Samuel Greiff,Rita Panaoura,Mari-Pauliina Vainikainen,Smaragda Kazi,Nikolaos Makris

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Educating the Developing Mind

A Developmental Theory of Instruction

By: Andreas Demetriou,George Spanoudis,Samuel Greiff,Rita Panaoura,Mari-Pauliina Vainikainen,Smaragda Kazi,Nikolaos Makris

A must-read for anyone working within education or intellectual development, Educating the Developing Mind introduces and integrates classical and modern research with the theory of the developing mind, creating a robust theory of learning and instruction. Drawing on the theories of Piaget, Bruner, and Vygotsky, coupled with 40 years of empirical research, this book highlights the importance of individual and social construction in learning and proposes a robust framework and methodology for teaching and strengthening learner cognitive processes. Filled with subject-specific research, this essential book highlights how cognitive development takes place and advocates a guided constructive approach to teaching. Topics explored span from the individual learner to the wider educational community, including but not limited to: Development of the mind Personality and individuality The brain Predicting school performance Measuring and improving intelligence Problem-solving skills Language This is an essential read for anyone working within education who wants to better understand the cognitive processes involved in the developing mind and to improve learning and instruction within their school, college, or university.

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278

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Taylor & Francis

Published Date

ISBN 10

100383163X

ISBN 13

9781003831631

Integrated Process Design and Operational Optimization via Multiparametric Programming

By: Baris Burnak,Nikolaos A. Diangelakis,Efstratios N. Pistikopoulos

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Integrated Process Design and Operational Optimization via Multiparametric Programming

By: Baris Burnak,Nikolaos A. Diangelakis,Efstratios N. Pistikopoulos

This book presents a comprehensive optimization-based theory and framework that exploits the synergistic interactions and tradeoffs between process design and operational decisions that span different time scales. Conventional methods in the process industry often isolate decision making mechanisms with a hierarchical information flow to achieve tractable problems, risking suboptimal, even infeasible operations. In this book, foundations of a systematic model-based strategy for simultaneous process design, scheduling, and control optimization is detailed to achieve reduced cost and improved energy consumption in process systems. The material covered in this book is well suited for the use of industrial practitioners, academics, and researchers. In Chapter 1, a historical perspective on the milestones in model-based design optimization techniques is presented along with an overview of the state-of-the-art mathematical tools to solve the resulting complex problems. Chapters 2 and 3 discuss two fundamental concepts that are essential for the reader. These concepts are (i) mixed integer dynamic optimization problems and two algorithms to solve this class of optimization problems, and (ii) developing a model based multiparametric programming model predictive control. These tools are used to systematically evaluate the tradeoffs between different time-scale decisions based on a single high-fidelity model, as demonstrated on (i) design and control, (ii) scheduling and control, and (iii) design, scheduling, and control problems. We present illustrative examples on chemical processing units, including continuous stirred tank reactors, distillation columns, and combined heat and power regeneration units, along with discussions of other relevant work in the literature for each class of problems.

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242

Publisher

Springer Nature

Published Date

ISBN 10

3031020898

ISBN 13

9783031020896

Smart Metering Applications

Main Concepts and Business Models

By: Nikolaos Efkarpidis,Martin Geidl,Holger Wache,Marco Peter,Marc Adam

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Smart Metering Applications

Main Concepts and Business Models

By: Nikolaos Efkarpidis,Martin Geidl,Holger Wache,Marco Peter,Marc Adam

This book presents a large number of smart metering applications from the points of view of different stakeholders. The applications are clustered with respect to three types of stakeholders: (a) end-customers, (b) energy service providers, and (c) authorities/research institutions or other organizations. The goal of the book is to examine the implementation potential for each application, considering the interests and benefits for the key stakeholders, main technical and regulatory requirements, as well as limitations and barriers. A business case for each application is created that can provide guidelines to the stakeholders involved in its realization. The book additionally investigates current business models for smart metering applications. A survey on the current techno-economic potential of such applications is conducted based on a questionnaire filled by various stakeholders. The book will be of interest to academic/research institutions, but also engineers in industry, authorities or other organizations.

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147

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Springer Nature

Published Date

ISBN 10

3031057376

ISBN 13

9783031057373

Diabetes in Clinical Practice

Questions and Answers from Case Studies

By: Evanthia Diakoumopoulou,Ionnis Ioannidis,Stavros Liatis,Nikolaos Tentolouris,Panagiotis Tsapogas

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Diabetes in Clinical Practice

Questions and Answers from Case Studies

By: Evanthia Diakoumopoulou,Ionnis Ioannidis,Stavros Liatis,Nikolaos Tentolouris,Panagiotis Tsapogas

Dealing with all the aspects of diabetes in clinical practice, this book offers a comprehensive, easy-to-use guide to help healthcare professionals achieve their target of optimal management and treatment of their patients. Diabetes in Clinical Practice: Questions and Answers from Case Studies is presented in the form of questions concerning diabetes diagnosis, management and therapy based on real-life case studies. Each question is answered in a clear, easy to follow style. The authors begin with general questions regarding diabetes, its pathophysiology and diagnostic tests. They then cover all the major complications that can arise in a patient with poorly controlled diabetes. The authors also discuss special groups, such as adolescents and the elderly. The book features useful information for patients and their healthcare professionals on daily activities such as exercise, nutrition, driving, travelling and sick day rules. Diabetes in Clinical Practice: Questions and Answers from Case Studies is an indispensable resource for all members of the diabetes team, in primary and secondary care: physicians, diabetes specialist nurses, diabetes educators, dieticians, podiatrists, endocrinologists and postgraduate medical students.

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482

Publisher

John Wiley & Sons

Published Date

ISBN 10

0470059133

ISBN 13

9780470059135

Cardiovascular Diseases

Genetic Susceptibility, Environmental Factors and their Interaction

By: Nikolaos Papageorgiou

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Cardiovascular Diseases

Genetic Susceptibility, Environmental Factors and their Interaction

By: Nikolaos Papageorgiou

Cardiovascular Diseases: Genetic Susceptibility, Environmental Factors and Their Interaction covers the special heritability characteristics and identifying genetic and environmental contributions to cardiovascular health. This important reference provides an overview of the genetic basis of cardiovascular disease and its risk factors. Included are important topics, ranging from lifestyle choices, risk factors, and exposure, to pollutants and chemicals. Also covered are the influences of Mendelian traits and familial aggregation and the interactions and interrelationships between genetics and environmental factors which, when compared, provide a sound understanding of the interplay between inherited and acquired risk factors. The book provides a much needed reference for this rapidly growing field of study. By combining the latest research within the structured chapters of this reference, a better understanding of genetic and environmental contribution to cardiovascular disease is found, helping to substantiate further investigations in the field and design prevention and treatment strategies. - Provides an overview of the genetic basis of cardiovascular disease and its risk factors - Reviews several large population-based studies which indicate that exposure to several environmental factors may increase CVD morbidity and mortality, exploring the plausibility of this association by data from animal studies - Reflects on future studies to help understanding the role of genes and environmental factors in the development and progression of cardiovascular disease

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254

Publisher

Academic Press

Published Date

ISBN 10

0128033134

ISBN 13

9780128033135

Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

By: Dumitru Motreanu,Viorica Venera Motreanu,Nikolaos Papageorgiou

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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

By: Dumitru Motreanu,Viorica Venera Motreanu,Nikolaos Papageorgiou

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.

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465

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461493234

ISBN 13

9781461493235

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

By: Leszek Gasinski,Nikolaos S. Papageorgiou

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Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

By: Leszek Gasinski,Nikolaos S. Papageorgiou

Starting in the early 1980s, people using the tools of nonsmooth analysis developed some remarkable nonsmooth extensions of the existing critical point theory. Until now, however, no one had gathered these tools and results together into a unified, systematic survey of these advances. This book fills that gap. It provides a complete presentation of nonsmooth critical point theory, then goes beyond it to study nonlinear second order boundary value problems. The authors do not limit their treatment to problems in variational form. They also examine in detail equations driven by the p-Laplacian, its generalizations, and their spectral properties, studying a wide variety of problems and illustrating the powerful tools of modern nonlinear analysis. The presentation includes many recent results, including some that were previously unpublished. Detailed appendices outline the fundamental mathematical tools used in the book, and a rich bibliography forms a guide to the relevant literature. Most books addressing critical point theory deal only with smooth problems, linear or semilinear problems, or consider only variational methods or the tools of nonlinear operators. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods for a wide variety of problems.

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790

Publisher

CRC Press

Published Date

ISBN 10

1420035037

ISBN 13

9781420035032

An Introduction to Nonlinear Analysis: Applications

By: Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou

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An Introduction to Nonlinear Analysis: Applications

By: Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou

This book offers an exposition of the main applications of Nonlinear Analysis, beginning with a chapter on Nonlinear Operators and Fixed Points, a connecting point and bridge from Nonlinear Analysis theory to its applications. The topics covered include applications to ordinary and partial differential equations, optimization, optimal control, calculus of variations and mathematical economics. The presentation is supplemented with the inclusion of many exercises and their solutions.

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844

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Springer Science & Business Media

Published Date

ISBN 10

0306474565

ISBN 13

9780306474569

Research Topics in Analysis, Volume I

Grounding Theory

By: Shouchuan Hu,Nikolaos S. Papageorgiou

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Research Topics in Analysis, Volume I

Grounding Theory

By: Shouchuan Hu,Nikolaos S. Papageorgiou

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544

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Springer Nature

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ISBN 10

3031178378

ISBN 13

9783031178375

Handbook of Applied Analysis

By: Nikolaos S. Papageorgiou,Sophia Th. Kyritsi-Yiallourou

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Handbook of Applied Analysis

By: Nikolaos S. Papageorgiou,Sophia Th. Kyritsi-Yiallourou

This handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis. It details many of the most important theoretical trends in nonlinear analysis and applications to different fields. These features make the volume a valuable tool for every researcher working on nonlinear analysis.

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804

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Springer Science & Business Media

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ISBN 10

0387789073

ISBN 13

9780387789071

An Introduction to Nonlinear Analysis: Theory

By: Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou

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An Introduction to Nonlinear Analysis: Theory

By: Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou

An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors. The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research.

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699

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Springer Science & Business Media

Published Date

ISBN 10

1441991581

ISBN 13

9781441991584

Applied Nonlinear Functional Analysis

An Introduction

By: Nikolaos S. Papageorgiou,Patrick Winkert

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Applied Nonlinear Functional Analysis

An Introduction

By: Nikolaos S. Papageorgiou,Patrick Winkert

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1003

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3111288323

ISBN 13

9783111288321

Nonlinear Analysis - Theory and Methods

By: Nikolaos S. Papageorgiou,Vicenţiu D. Rădulescu,Dušan D. Repovš

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Nonlinear Analysis - Theory and Methods

By: Nikolaos S. Papageorgiou,Vicenţiu D. Rădulescu,Dušan D. Repovš

This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.

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586

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Springer

Published Date

ISBN 10

3030034305

ISBN 13

9783030034306

Exercises in Analysis

Part 1

By: Leszek Gasińksi,Nikolaos S. Papageorgiou

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Exercises in Analysis

Part 1

By: Leszek Gasińksi,Nikolaos S. Papageorgiou

Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration and Martingales; measure and topology and functional analysis. Each of five topics correspond to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed by suitable comments and remarks for better understanding of the material. At least 170 exercises/problems are presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic. This nearly encyclopedic coverage of exercises in mathematical analysis is the first of its kind and is accessible to a wide readership. Graduate students will find the collection of problems valuable in preparation for their preliminary or qualifying exams as well as for testing their deeper understanding of the material. Exercises are denoted by degree of difficulty. Instructors teaching courses that include one or all of the above-mentioned topics will find the exercises of great help in course preparation. Researchers in analysis may find this Work useful as a summary of analytic theories published in one accessible volume.

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1046

Publisher

Springer

Published Date

ISBN 10

3319061763

ISBN 13

9783319061764

Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

By: Sergiu Aizicovici,Nikolaos Socrates Papageorgiou,Vasile Staicu

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Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

By: Sergiu Aizicovici,Nikolaos Socrates Papageorgiou,Vasile Staicu

In this paper the authors examine the degree map of multivalued perturbations of nonlinear operators of monotone type and prove that at a local minimizer of the corresponding Euler functional, this degree equals one.

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Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821841920

ISBN 13

9780821841921

Handbook of Multivalued Analysis

Volume II: Applications

By: Shouchuan Hu,Nikolaos S. Papageorgiou

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Handbook of Multivalued Analysis

Volume II: Applications

By: Shouchuan Hu,Nikolaos S. Papageorgiou

In volume I we developed the tools of "Multivalued Analysis. " In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: "Differential Inclusions," Springer-Verlag, 1983, and Deimling: "Multivalued Differential Equations," W. De Gruyter, 1992), here we focus on "Evolution Inclusions," which are evolution equations with multi valued terms. Evolution equations were raised to prominence with the development of the linear semigroup theory by Hille and Yosida initially, with subsequent im portant contributions by Kato, Phillips and Lions. This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par tial differential equations and linear functional equations. The needs of dealing with applied problems and the natural tendency to extend the linear theory to the nonlinear case led to the development of the nonlinear semigroup theory, which became a very effective tool in the analysis of broad classes of nonlinear evolution equations.

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941

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461546656

ISBN 13

9781461546658

Nonlinear Analysis

By: Leszek Gasinski,Nikolaos S. Papageorgiou

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Nonlinear Analysis

By: Leszek Gasinski,Nikolaos S. Papageorgiou

Nonlinear analysis is a broad, interdisciplinary field characterized by a remarkable mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. This volume focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. It complements the many other books on nonlinear analysis by addressing topics previously discussed fully only in scattered research papers. These include recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles. The rich variety of topics, both theoretical and applied, make Nonlinear Analysis useful to anyone, whether graduate student or researcher, working in analysis or its applications in optimal control, theoretical mechanics, or dynamical systems. An appendix contains all of the background material needed, and a detailed bibliography forms a guide for further study.

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