Topics in Critical Point Theory

by Martin Schechter & Kanishka Perera
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eBook

Publisher: Cambridge University Press

Series: Cambridge Tracts in Mathematics

Publication Date: November 10, 2015

ISBN: 9781139854320

Binding: Kobo eBook

Availability: eBook

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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 FucĂ­k 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.