Topics in Critical Point Theory

Nonfiction, Science & Nature, Mathematics, Topology, Mathematical Analysis
Cover of the book Topics in Critical Point Theory by Martin Schechter, Kanishka Perera, Cambridge University Press
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Author: Martin Schechter, Kanishka Perera ISBN: 9781139854320
Publisher: Cambridge University Press Publication: November 1, 2012
Imprint: Cambridge University Press Language: English
Author: Martin Schechter, Kanishka Perera
ISBN: 9781139854320
Publisher: Cambridge University Press
Publication: November 1, 2012
Imprint: Cambridge University Press
Language: English

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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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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