Topics in Critical Point Theory

Erscheinungsjahr 2012
ISBN: 978-1-107-02966-8
Verlag: Cambridge University Press

Buch, Englisch, Band 198, 167 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 406 g

Reihe: Cambridge Tracts in Mathematics

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 Fucík 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.

Autoren/Hrsg.

Perera, Kanishka

Schechter, Martin

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

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

Über Autor(innen)

Perera, Kanishka
Kanishka Perera is Professor in the Department of Mathematical Sciences at Florida Institute of Technology.

Schechter, Martin
Martin Schechter is Professor in the Department of Mathematics at the University of California, Irvine.