Topics in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 198) - Hardcover

Book 23 of 46: Cambridge Tracts in Mathematics

Perera, Kanishka; Schechter, Martin

 
9781107029668: Topics in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 198)

Synopsis

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.

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About the Authors

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.

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