Topics in critical point theory

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"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 Fučík spectrum in an abstract setting, sandwich pairs and the cohomological  Read more...

Abstract:
This book introduces the reader to powerful methods of analysis that can solve many problems. Written for graduate students and research scientists, it describes in detail, with examples, many of the  Read more...

Author(s): Perera, Kanishka; Schechter, Martin
Series: Cambridge tracts in mathematics 198
Publisher: Cambridge University Press
Year: 2012

Language: English
Pages: 157
City: New York, Cambridge
Tags: Fixed point theory.;Point fixe, Théorème du.;Points critiques, Théorie des (analyse mathématique);Points critiques, Théorie des (analyse mathématique)

Content: 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.