Variational methods
applications to nonlinear partial differential equations and Hamiltonian systems
by Michael Struwe
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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| Edition | Availability |
|---|---|
1
Variational methods: applications to nonlinear partial differential equations and Hamiltonian systems
2008, Springer
in German
- 4th ed.
3540740120 9783540740124
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2
Variational methods: applications to nonlinear partial differential equations and Hamiltonian systems
2000, Springer
in English
- 3rd ed.
3540664793 9783540664796
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aaaa
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3
Variational methods: applications to nonlinear partial differential equations and Hamiltonian systems
1996, Springer
in English
- 2nd, rev. and substantially expanded ed.
3540588590 9783540588597
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4
Variational methods: applications to nonlinear partial differential equations and Hamiltonian systems
1990, Springer-Verlag
in English
3540520228 9783540520221
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Book Details
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Includes bibliographical references (p. [251]-272) and index.
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- Created April 1, 2008
- 9 revisions
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| October 29, 2022 | Edited by ImportBot | import existing book |
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