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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 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.Read more
- Equips the reader for using this very powerful tool
- Brings researchers up to date with the latest developments
- Introduces beginning graduate students to topics at the research level
Reviews & endorsements
"The present book covers topics that are not easily found elsewhere and it definitely places itself on the research level. The book is very clearly written and presents the material in an efficient way. It will certainly be a valuable tool to researchers, both in the field of abstract critical point theory and in the field of differential equations."
Enrico Serra, Mathematical ReviewsSee more reviews
"The authors have presented extremely powerful methods in critical point theory. It can be presumed that researchers in these subjects had been awaiting such an excellent source and here they have it. It is undoubtedly an excellent reference for research scientists in mathematics, physics and engineering."
Dhruba Adhikari, MAA Reviews
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- Date Published: December 2012
- format: Hardback
- isbn: 9781107029668
- length: 167 pages
- dimensions: 235 x 157 x 14 mm
- weight: 0.38kg
- availability: In stock
Table of Contents
1. Morse theory
3. Applications to semilinear problems
4. Fučík spectrum
5. Jumping nonlinearities
6. Sandwich pairs
Appendix: Sobolev spaces
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