Variational Methods

Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems

  • Michael Struwe

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 34)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Michael Struwe
    Pages 74-168
  3. Michael Struwe
    Pages 169-236
  4. Back Matter
    Pages 237-274

About this book


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 third edition gives a survey on new developments in the field. References have been updated and a small number of mistakes have been rectified.


Mathematica Mathematical Physics Partial Differential Equations banach spaces calculus calculus of variations compactness convergence differential equation extrema hamiltonian system manifold maximum minimum partial differential equation

Authors and affiliations

  • Michael Struwe
    • 1
  1. 1.Mathematik, ETH ZürichETH-ZentrumZürichSwitzerland

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-04196-3
  • Online ISBN 978-3-662-04194-9
  • Series Print ISSN 0071-1136
  • Buy this book on publisher's site