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Variational Methods Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems /
Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of th...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2008.
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| Edición: | 4th ed. 2008. |
| Colección: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,
34 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- The Direct Methods in the Calculus of Variations
- Lower Semi-Continuity
- Constraints
- Compensated Compactness
- The Concentration-Compactness Principle
- Ekeland's Variational Principle
- Duality
- Minimization Problems Depending on Parameters
- Minimax Methods
- The Finite Dimensional Case
- The Palais-Smale Condition
- A General Deformation Lemma
- The Minimax Principle
- Index Theory
- The Mountain Pass Lemma and its Variants
- Perturbation Theory
- Linking
- Parameter Dependence
- Critical Points of Mountain Pass Type
- Non-Differentiable Functionals
- Ljusternik-Schnirelman Theory on Convex Sets
- Limit Cases of the Palais-Smale Condition
- Pohozaev's Non-Existence Result
- The Brezis-Nierenberg Result
- The Effect of Topology
- The Yamabe Problem
- The Dirichlet Problem for the Equation of Constant Mean Curvature
- Harmonic Maps of Riemannian Surfaces
- Appendix A
- Appendix B
- Appendix C
- References
- Index.