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

Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
ISBN-10
3662041944
ISBN-13
9783662041949
Series
Variational Methods
Category
Science
Pages
274
Language
English
Published
2012-12-06
Publisher
Springer Science & Business Media
Author
Michael Struwe

Description

Hilberts 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 Plateaus problem by Douglas and Rad. This third edition gives a concise introduction to variational methods and presents an overview of areas of current research in the field, plus a survey on new developments.

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