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...

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Detalhes bibliográficos
Autor principal: Struwe, Michael, 1955-
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:Version électronique de la quatrième édition.
Colecção:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 34
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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
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100 1 |a Struwe, Michael,  |d 1955- 
245 1 0 |a Variational Methods :  |b Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems   |c Michael Struwe. 
250 |a Version électronique de la quatrième édition. 
260 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics  |v 34  |x 2197-5655 
500 |a L'impression du document génère 319 p. 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
504 |a Bibliogr. Index 
505 1 |a 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 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Radó. The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field. The fourth edition gives a survey on new developments in the field. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Also the recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. Aside from these more significant additions, a number of smaller changes throughout the text have been made and the references have been updated 
650 |a Calcul des variations 
650 |a Équations différentielles non linéaires 
650 |a Systèmes hamiltoniens 
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