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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 three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Radò. The book gives a concise introduction to variational methods and presents an overview of areas of current research in this field. This new edition has been substantially enlarged, a new chapter on the Yamabe problem has been added and the references have been updated. All topics are illustrated by carefully chosen examples, representing the current state of the art in their field.
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Subjects
Mathematics, Mathematical optimization, Global analysis (Mathematics), Systems theory, Calculus of variations, Differential equations, nonlinear, Hamiltonian systems, System theory, Control Systems Theory, Calculus of Variations and Optimal Control; Optimization, Analysis, Dynamical Systems and Complexity Statistical Physics| Edition | Availability |
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1
Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
2013, Springer
in English
3662032120 9783662032121
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2
Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
2012, Springer
in English
3662041944 9783662041949
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3
Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
Oct 19, 2010, Springer
paperback
3642093299 9783642093296
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5
Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
1990, Springer Berlin Heidelberg
electronic resource :
in English
3662026260 9783662026267
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| September 28, 2024 | Edited by MARC Bot | import existing book |
| September 28, 2024 | Edited by MARC Bot | import existing book |
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| July 8, 2019 | Created by MARC Bot | import new book |


