Duality and Perturbation Methods in Critical Point Theory

Abstract

1. Lipschitz and smooth perturbed minimization principles 2. Linear and plurisubharmonic perturbed minimization principles 3. The classical min-max theorem 4. A strong form of the min-max principle 5. Relaxed boundary conditions in the presence of a dual set 6. The critical set in the mountain pass theorem 7. Group actions and multiplicity of critical points 8. The Palais-Smale condition around a dual set - examples 9. Morse indices of min-max critical points - the non-degenerate case 10. Morse indices of min-max critical points - the degenerate case 11. Morse-type information on Palais-Smale sequences Appendix References Index.