Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems

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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: Struwe, Michael
Lenguaje:eng
Publicado: Springer 2008
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-74013-1
http://cds.cern.ch/record/1338306
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author Struwe, Michael
author_facet Struwe, Michael
author_sort Struwe, Michael
collection CERN
description 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 RadA3. 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
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spelling cern-13383062021-04-22T01:06:49Zdoi:10.1007/978-3-540-74013-1http://cds.cern.ch/record/1338306engStruwe, MichaelVariational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian SystemsMathematical Physics and MathematicsHilbert'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 RadA3. 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 surveySpringeroai:cds.cern.ch:13383062008
spellingShingle Mathematical Physics and Mathematics
Struwe, Michael
Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
title Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
title_full Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
title_fullStr Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
title_full_unstemmed Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
title_short Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
title_sort variational methods: applications to nonlinear partial differential equations and hamiltonian systems
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-540-74013-1
http://cds.cern.ch/record/1338306
work_keys_str_mv AT struwemichael variationalmethodsapplicationstononlinearpartialdifferentialequationsandhamiltoniansystems

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