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  3. Topics in Critical Point Theory
  • Cited by 3
Publisher:
Cambridge University Press
Online publication date:
November 2012
Print publication year:
2012
Online ISBN:
9781139342469
DOI:
https://doi.org/10.1017/CBO9781139342469
Subjects:
Mathematics (general), Mathematics, Abstract Analysis, Geometry and Topology
Series:
Cambridge Tracts in Mathematics (198)
Information

Book description

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.

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 Source: MAA Reviews

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Contents

Contents
References
Bibliography
Bibliography
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