This 2003 book presents min-max methods through a study of the different faces of the Mountain Pass Theorem of Ambrosetti and Rabinowitz.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
1. Retrospective Part I. First Steps toward the Mountains: 2. Palais-Smale condition. Definitions and examples 3. Variational principle 4. Deformation lemma Part II. Reaching the Mountain Pass through Easy Climbs: 5. The finite dimensional MPT 6. The topological MPT 7. The classical MPT 8. The multidimensional MPT Part III. A Deeper Insight in Mountain Topology: 9. The limiting case in the MPT 10. Palais-Smale condition versus asymptotic behavior 11. Symmetry and the MPT 12. The structure of the critical set in the MPT 13. Weighted Palais-Smale conditions Part IV. The Landscape Becoming Less Smooth: 14. The semismooth MPT 15. The nonsmooth MPT 16. The metric MPT Part V. Speculating about the Mountain Pass Geometry: 17. The MPT on convex domains 18. A MPT in order intervals 19. The linking principle 20. The intrinsic MPT 21. Geometrically contrained MPT Part VI. Technical Climbs: 22. Numerical MPT implementations 23. Perturbation from symmetry and the MPT 24. Applying the MPT in bifurcation problems 25. More climbs Appendix A. Background material.
1. Retrospective Part I. First Steps toward the Mountains: 2. Palais-Smale condition. Definitions and examples 3. Variational principle 4. Deformation lemma Part II. Reaching the Mountain Pass through Easy Climbs: 5. The finite dimensional MPT 6. The topological MPT 7. The classical MPT 8. The multidimensional MPT Part III. A Deeper Insight in Mountain Topology: 9. The limiting case in the MPT 10. Palais-Smale condition versus asymptotic behavior 11. Symmetry and the MPT 12. The structure of the critical set in the MPT 13. Weighted Palais-Smale conditions Part IV. The Landscape Becoming Less Smooth: 14. The semismooth MPT 15. The nonsmooth MPT 16. The metric MPT Part V. Speculating about the Mountain Pass Geometry: 17. The MPT on convex domains 18. A MPT in order intervals 19. The linking principle 20. The intrinsic MPT 21. Geometrically contrained MPT Part VI. Technical Climbs: 22. Numerical MPT implementations 23. Perturbation from symmetry and the MPT 24. Applying the MPT in bifurcation problems 25. More climbs Appendix A. Background material.
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