Topics in critical point theory
著者
書誌事項
Topics in critical point theory
（Cambridge tracts in mathematics, 198）
Cambridge University Press, 2013
- : hardback
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注記
Includes bibliographical references (p. 147-155) and index
内容説明・目次
内容説明
This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fucik spectrum in an abstract setting, sandwich pairs and the cohomological index. Applications to semilinear elliptic boundary value problems, p-Laplacian problems and anisotropic systems are given. Written for graduate students and research scientists, the book includes numerous examples and presents more recent developments in the subject to bring the reader up to date with the latest research.
目次
- Preface
- 1. Morse theory
- 2. Linking
- 3. Applications to semilinear problems
- 4. Fucik spectrum
- 5. Jumping nonlinearities
- 6. Sandwich pairs
- Appendix: Sobolev spaces
- Bibliography
- Index.
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