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Variational Methods

Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems

  • Michael Struwe

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge book series (MATHE3, volume 34)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Michael Struwe
    Pages 74-168
  3. Michael Struwe
    Pages 169-236
  4. Back Matter
    Pages 237-272

About this book

Introduction

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.

Keywords

Hamiltonian Systems Mathematica Mathematical Physics Partial Differential Equations calculus calculus of variations differential equation hamiltonian system maximum minimum partial differential equation

Authors and affiliations

  • Michael Struwe
    • 1
  1. 1.Mathematik, ETH-ZentrumETH ZürichZürichSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03212-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-03214-5
  • Online ISBN 978-3-662-03212-1
  • Series Print ISSN 0071-1136
  • Buy this book on publisher's site