Giovanni Molica Bisci's Books

Variational Methods for Nonlocal Fractional Problems

By: Giovanni Molica Bisci,Vicentiu D. Radulescu,Raffaella Servadei

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Variational Methods for Nonlocal Fractional Problems

By: Giovanni Molica Bisci,Vicentiu D. Radulescu,Raffaella Servadei

This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory.

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Page Count

401

Publisher

Cambridge University Press

Published Date

ISBN 10

1316571696

ISBN 13

9781316571699

Nonlinear Problems with Lack of Compactness

By: Giovanni Molica Bisci,Patrizia Pucci

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Nonlinear Problems with Lack of Compactness

By: Giovanni Molica Bisci,Patrizia Pucci

This authoritative book presents recent research results on nonlinear problems with lack of compactness. The topics covered include several nonlinear problems in the Euclidean setting as well as variational problems on manifolds. The combination of deep techniques in nonlinear analysis with applications to a variety of problems make this work an essential source of information for researchers and graduate students working in analysis and PDE's.

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Page Count

290

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110652013

ISBN 13

9783110652017

Variational Methods for Nonlocal Fractional Problems

By: Giovanni Molica Bisci,Vicenţiu D. Rădulescu (!d),Raffaella Servadei

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Variational Methods for Nonlocal Fractional Problems

By: Giovanni Molica Bisci,Vicenţiu D. Rădulescu (!d),Raffaella Servadei

A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.

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Solve jigsaw puzzle

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Page Count

401

Publisher

Cambridge University Press

Published Date

ISBN 10

1107111943

ISBN 13

9781107111943

Book's by Giovanni Molica Bisci

Variational Methods for Nonlocal Fractional Problems

Variational Methods for Nonlocal Fractional Problems

Nonlinear Problems with Lack of Compactness

Nonlinear Problems with Lack of Compactness

Variational Methods for Nonlocal Fractional Problems

Variational Methods for Nonlocal Fractional Problems

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