Topics in Critical Point Theory (Cambridge Tracts in Mathematics)

Topics in Critical Point Theory (Cambridge Tracts in Mathematics)

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Martin Schechter Kanishka Perera
Cambridge University Press, 11/1/2012
EAN 9781107029668, ISBN10: 110702966X

Hardcover, 184 pages, 23.5 x 15.7 x 1.4 cm
Language: English

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.

1. Morse theory
2. Linking
3. Applications to semilinear problems
4. Fučík spectrum
5. Jumping nonlinearities
6. Sandwich pairs
Sobolev spaces