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...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edició: | Version électronique de la quatrième édition. |
| Col·lecció: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
34 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 319 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Variational methods, applications to nonlinear partial differential equations and Hamiltonian systems, Michael Struwe, 4th edition, Berlin, Springer, 2008, 1 volume (xx-302 pages), Ergebnisse der Mathematik und ihrer Grenzgebiete, 978-3-540-74012-4 • Variational Methods, Texte imprimé, 9783540868262 • Variational methods, applications to nonlinear partial differential equations and Hamiltonian systems, Michael Struwe, 4th edition, Berlin, Springer, 2008, 1 volume (xx-302 pages), Ergebnisse der Mathematik und ihrer Grenzgebiete, 978-3-540-74012-4 • Variational methods, applications to nonlinear partial differential equations and Hamiltonian systems, Michael Struwe, 4th edition, Berlin, Springer, 2008, 1 volume (xx-302 pages), Ergebnisse der Mathematik und ihrer Grenzgebiete, 978-3-540-74012-4 |
Taula de continguts:
- 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