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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| Autor principal: | |
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| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edição: | Version électronique de la quatrième édition. |
| coleção: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
34 |
| Assuntos: | |
| Acesso em linha: | 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 |
| Resumo: | 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 |
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| Descrição do item: | L'impression du document génère 319 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. Index |
| ISBN: | 9783540740131 |
| ISSN: | 2197-5655 |
| Acesso: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |