Volume: 65; 1986; 100 pp; Softcover
MSC: Primary 35; 58; 70; Secondary 34; 47; 53
Print ISBN: 978-0-8218-0715-6
Product Code: CBMS/65
List Price: $27.00
Individual Price: $21.60
Electronic ISBN: 978-1-4704-2425-1
Product Code: CBMS/65.E
List Price: $25.00
Individual Price: $20.00
Minimax Methods in Critical Point Theory with Applications to Differential Equations
Share this pagePaul H. Rabinowitz
A co-publication of the AMS and CBMS
The book provides an introduction to minimax methods
in critical point theory and shows their use in existence questions
for nonlinear differential equations. An expanded version of the
author's 1984 CBMS lectures, this volume is the first monograph devoted
solely to these topics. Among the abstract questions considered are
the following: the mountain pass and saddle point theorems,
multiple critical points for functionals invariant under a group of
symmetries, perturbations from symmetry, and variational methods in
bifurcation theory.
The book requires some background in functional analysis
and differential equations, especially elliptic partial
differential equations. It is addressed to mathematicians interested
in differential equations and/or nonlinear functional
analysis, particularly critical point theory.
Table of Contents
Table of Contents
Minimax Methods in Critical Point Theory with Applications to Differential Equations
- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Preface vii8 free
- 1. An Overview 110 free
- 2. The Mountain Pass Theorem and Some Applications 716
- 3. Some Variants of the Mountain Pass Theorem 1928
- 4. The Saddle Point Theorem 2332
- 5. Some Generalizations of the Mountain Pass Theorem 2837
- 6. Applications to Hamiltonian Systems 3544
- 7. Functionals with Symmetries and Index Theories 4554
- 8. Multiple Critical Points of Symmetric Functionals: Problems with Constraints 4857
- 9. Multiple Critical Points of Symmetrie Functionals: The Unconstrained Case 5362
- 10. Perturbations from Symmetry 6170
- 11. Variational Methods in Bifurcation Theory 7079
- Appendix A 8190
- Appendix B 8998
- References 96105
- Back Cover Back Cover1110