Infinite dimensional Morse theory and multiple solution problems
Title Statements
- Full title :Infinite dimensional Morse theory and multiple solution problems / Kung-ching Chang.
Edition Statements
- Publication Date:©1993.
Publication Statements
- Publisher(s):Birkhäuser
- Place of Publication:Boston
- Language:eng
- Publication Date:©1993.
The Physical Object
- Description:x, 312 pages : : illustrations ; : 25 cm
Edition Identifiers
- ISBN:0817634517, 9780817634513, 3764334517, 9783764334512
- oclc:ocm23383893
- LC Classification:QA331
- Dewey Decimal:515
Table of Contents
Ch. I. Infinite Dimensional Morse Theory -- 1. A Review of Algebraic Topology -- 2. A Review of the Banach-Finsler Manifold -- 3. Pseudo Gradient Vector Field and the Deformation Theorems -- 4. Critical Groups and Morse Type Numbers -- 5. Gromoll-Meyer Theory -- 6. Extensions of Morse Theory -- 6.1. Morse Theory Under General Boundary Conditions -- 6.2. Morse Theory on a Locally Convex Closed Set -- 7. Equivariant Morse Theory -- 7.1. Preliminaries -- 7.2. Equivariant Deformation -- 7.3. The Splitting Theorem and the Handle Body Theorem for Critical Manifolds -- 7.4. G-Cohomology and G-Critical Groups -- Ch. II. Critical Point Theory -- 1. Topological Link -- 2. Morse Indices of Minimax Critical Points -- 2.1. Link -- 2.2. Genus and Cogenus -- 3. Connections with Other Theories -- 3.1. Degree theory -- 3.2. Ljusternik-Schnirelman Theory -- 3.3. Relative Category -- 4. Invariant Functionals -- 5. Some Abstract Critical Point Theorems -- 6. Perturbation Theory -- 6.1. Perturbation on Critical Manifolds -- 6.2. Uhlenbeck's Perturbation Method -- Ch. III. Applications to Semilinear Elliptic Boundary Value Problems -- 1. Preliminaries -- 2. Superlinear Problems -- 3. Asymptotically Lin…
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