Topics in critical point theory / Kanishka Perera, Florida Institute of Technology, Martin Schechter, University of California, Irvine.

Format:

Book

Author/Creator:

Perera, Kanishka, 1969- author.

Schechter, Martin, author.

Series:

Cambridge tracts in mathematics ; 198.

Cambridge tracts in mathematics ; 198

Language:

English

Subjects (All):

Fixed point theory.

Physical Description:

1 online resource (xi, 157 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2013.

Language Note:

English

Summary:

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.

Contents:

Morse theory

Linking

Applications to semilinear problems

Fučík spectrum

Jumping nonlinearities

Sandwich pairs

Appendix: Sobolev spaces.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-23734-3

1-139-85432-1

1-139-84051-7

1-139-34246-0

1-139-84524-1

1-139-84288-9

1-139-84610-8

1-283-83634-3

1-139-84169-6

OCLC:

818883461