Variational Methods for Nonlocal Fractional Problems

Language: English

Published by Cambridge University Press, GB, 2016

1107111943 / 9781107111943

Series: Book 163 of 188 - Encyclopedia of Mathematics and its Applications

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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.

Seller Inventory # LU-9781107111943

Title
Variational Methods for Nonlocal Fractional Problems
Author
Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Publisher
Cambridge University Press, GB
Publication year
2016
Condition
New
Binding
Hardback
Language
English
ISBN 10
1107111943
ISBN 13
9781107111943
Item weight
790 grams
Series
Book 163 of 188: Encyclopedia of Mathematics and its Applications

Rarewaves.com USA

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