Topics in Critical Point Theory

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Kanishka Perera (Florida Institute of Technology) Martin Schechter (University of California, Irvine)

Topics in Critical Point Theory

Kanishka Perera (Florida Institute of Technology), Martin Schechter (University of California, Irvine)

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English

Cambridge University Press
01 November 2012

Mathematics & Sciences; Analytic geometry; Analytic topology

Series: Cambridge Tracts in Mathematics

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.

By: Kanishka Perera (Florida Institute of Technology), Martin Schechter (University of California, Irvine)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 198
Dimensions: Height: 235mm, Width: 157mm, Spine: 14mm
Weight: 380g
ISBN: 9781107029668
ISBN 10: 110702966X
Series: Cambridge Tracts in Mathematics
Pages: 167
Publication Date: 01 November 2012
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Preface; 1. Morse theory; 2. Linking; 3. Applications to semilinear problems; 4. Fučík spectrum; 5. Jumping nonlinearities; 6. Sandwich pairs; Appendix: Sobolev spaces; Bibliography; Index.

Kanishka Perera is Professor in the Department of Mathematical Sciences at Florida Institute of Technology. Martin Schechter is Professor in the Department of Mathematics at the University of California, Irvine.

Reviews for Topics in Critical Point Theory

'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 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 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