Serena Dipierro's Books

Elliptic Partial Differential Equations From An Elementary Viewpoint: A Fresh Glance At The Classical Theory

By: Serena Dipierro,Enrico Valdinoci

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Elliptic Partial Differential Equations From An Elementary Viewpoint: A Fresh Glance At The Classical Theory

By: Serena Dipierro,Enrico Valdinoci

This is a textbook that covers several selected topics in the theory of elliptic partial differential equations which can be used in an advanced undergraduate or graduate course.The book considers many important issues such as existence, regularity, qualitative properties, and all the classical topics useful in the wide world of partial differential equations. It also includes applications with interesting examples.The structure of the book is flexible enough to allow different chapters to be taught independently.The book is friendly, welcoming, and written for a newcomer to the subject.It is essentially self-contained, making it easy to read, and all the concepts are fully explained from scratch, combining intuition and rigor, and therefore it can also be read independently by students, with limited or no supervision.

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Page Count

670

Publisher

World Scientific

Published Date

ISBN 10

9811290814

ISBN 13

9789811290817

Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$

By: Serena Dipierro,María Medina,Enrico Valdinoci

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Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$

By: Serena Dipierro,María Medina,Enrico Valdinoci

These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space. In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary. The results presented are original, but no particular prerequisite or knowledge of the previous literature is needed to read this text. The work is accessible to a wide audience and can also serve as introductory research material on the topic of nonlocal nonlinear equations.

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Page Count

162

Publisher

Springer

Published Date

ISBN 10

8876426019

ISBN 13

9788876426018

Local Density of Solutions to Fractional Equations

By: Alessandro Carbotti,Serena Dipierro,Enrico Valdinoci

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Local Density of Solutions to Fractional Equations

By: Alessandro Carbotti,Serena Dipierro,Enrico Valdinoci

This book presents in a detailed and self-contained way a new and important density result in the analysis of fractional partial differential equations, while also covering several fundamental facts about space- and time-fractional equations.

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