Variational methods for nonlocal fractional problems
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 beg…
Read More ↓Title Statements
- Full title :Variational methods for nonlocal fractional problems / Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2016
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2016
Notes
Title from publisher's bibliographic system (viewed on 08 Mar 2016).
The Physical Object
- Description:1 online resource (xvi, 383 Seiten)
Edition Identifiers
- ISBN:9781316282397, 1316282392, 9781107111943, 1107111943
- DOI:10.1017/CBO9781316282397
- oclc:ocn967678676
- LC Classification:QA314
- Dewey Decimal:515.8/3
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