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Variational Methods

Proceedings of a Conference Paris, June 1988

  • Henri Berestycki
  • Jean-Michel Coron
  • Ivar Ekeland

Table of contents

  1. Front Matter
    Pages i-ix
  2. Partial Differential Equations and Mathematical Physics

    1. Front Matter
      Pages 1-1
    2. Frederick J. Almgren Jr., Elliott H. Lieb
      Pages 3-16
    3. Frederick J. Almgren Jr., Elliott H. Lieb
      Pages 17-35
    4. F. Bethuel, H. Brezis, J. M. Coron
      Pages 37-52
    5. Maria J. Esteban
      Pages 77-93
    6. G. Fournier, M. Willem
      Pages 95-104
    7. Robert M. Hardt
      Pages 105-113
    8. Robert Hardt, David Kinderlehrer, Fang Hau Lin
      Pages 115-131
    9. J. B. McLeod, L. A. Peletier
      Pages 185-196
  3. Partial Differential Equations and Problems in Geometry

  4. Hamiltonian Systems

    1. Front Matter
      Pages 371-371
    2. Abbas Bahri, Paul H. Rabinowitz
      Pages 383-394
    3. Vieri Benci, Marco Degiovanni
      Pages 395-411
    4. Kung-Ching Chang
      Pages 431-446
  5. Back Matter
    Pages 478-478

About this book

Introduction

In the framework of the "Annee non lineaire" (the special nonlinear year) sponsored by the C.N.R.S. (the French National Center for Scien­ tific Research), a meeting was held in Paris in June 1988. It took place in the Conference Hall of the Ministere de la Recherche and had as an organizing theme the topic of "Variational Problems." Nonlinear analysis has been one of the leading themes in mathemat­ ical research for the past decade. The use of direct variational methods has been particularly successful in understanding problems arising from physics and geometry. The growth of nonlinear analysis is largely due to the wealth of ap­ plications from various domains of sciences and industrial applica­ tions. Most of the papers gathered in this volume have their origin in applications: from mechanics, the study of Hamiltonian systems, from physics, from the recent mathematical theory of liquid crystals, from geometry, relativity, etc. Clearly, no single volume could pretend to cover the whole scope of nonlinear variational problems. We have chosen to concentrate on three main aspects of these problems, organizing them roughly around the following topics: 1. Variational methods in partial differential equations in mathemat­ ical physics 2. Variational problems in geometry 3. Hamiltonian systems and related topics.

Keywords

Boundary value problem Mathematica Scope Sobolev space Volume differential equation dynamical systems equation framework geometry hamiltonian system mechanics online partial differential equation themes

Editors and affiliations

  • Henri Berestycki
    • 1
  • Jean-Michel Coron
    • 2
  • Ivar Ekeland
    • 3
  1. 1.MathématiquesUniversité Pierre et Marie CurieParis Cedex 05France
  2. 2.Département de Mathématiques, Bâtiment 425Université de Paris-SudOrsay CedexFrance
  3. 3.CEREMADEUniversité de Paris IX-DauphineParis Cedex 16France

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