Topics in critical point theoryKanishka Perera, Florida Institute of Technology; Martin Schechter, University of California, Irvine.

By:

Perera, Kanishka, 1969- [Author]

Contributor(s):

Schechter, Martin

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781139840514

Subject(s):

Fixed point theory

Genre/Form:

Electronic Books.

LOC classification:

QA329 .T675 2013

Online resources:

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Available additional physical forms:

Contents:

Subject: "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"-- Subject: "Critical point theory has become a very powerful tool for solving many problems. The theory has enjoyed significant development over the last several years. The impetus for this development is the fact that many new problems could not be solved by the older theory. In this book we present more recent developments in the subject that do not seem to be covered elsewhere, including some results of the authors dealing with nonstandard linking geometries and sandwich pairs"--

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Holdings
Item type	Current library	Collection	Call number	URL	Status	Date due	Barcode
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD)	G. Allen Fleece Library ONLINE	Non-fiction	QA329.9 (Browse shelf(Opens below))	Link to resource	Available		ocn819325455

Includes bibliographies and index.

"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"--

"Critical point theory has become a very powerful tool for solving many problems. The theory has enjoyed significant development over the last several years. The impetus for this development is the fact that many new problems could not be solved by the older theory. In this book we present more recent developments in the subject that do not seem to be covered elsewhere, including some results of the authors dealing with nonstandard linking geometries and sandwich pairs"--

Machine generated contents note: Preface; 1. Morse theory; 2. Linking; 3. Applications to semilinear problems; 4. Fučík spectrum; 5. Jumping nonlinearities; 6. Sandwich pairs; Appendix: Sobolev spaces; Bibliography; Index.

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