Convex Analysis and Variational Problems

Edited by
  • Ivar Ekeland - Associate Professor of Mathematics, University of Paris IX
  • Roger Temam - Professor of Mathematics, University of Paris XI
Volume 1,

Pages iii-viii, 3-402 (1976)

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Contents

    1. Edited by

      Page iii
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    1. Copyright page

      Page iv
    1. Preface

      Pages v-viii
  1. Part One Fundamentals of Convex Analysis

    1. Chapter I Convex Functions

      Pages 3-33
    2. Chapter II Minimization of Convex Functions and Variational Inequalities

      Pages 34-45
    3. Chapter III Duality in Convex Optimization

      Pages 46-72
  2. Part Two Duality and Convex Variational Problems

    1. Chapter IV Applications of Duality to the Calculus of Variations (I)

      Pages 75-115
    2. Chapter V Applications of Duality to the Calculus of Variations (II) Minimal Hypersurface Problems

      Pages 116-164
    3. Chapter VI Duality by the Minimax Theorem

      Pages 165-185
    4. Chapter VII Other Applications of Duality

      Pages 186-228
  3. Part Three Relaxation and Non-Convex Variational Problems

    1. Chapter VIII Existence of Solutions for Variational Problems

      Pages 231-262
    2. Chapter IX Relaxation of Non-convex variational Problems (I)

      Pages 263-296
    3. Chapter X Relaxation of Non-convex Variational Problems (II)

      Pages 297-355
    1. Appendix I: An a priori Estimate in Non-convex Programming

      Pages 357-373
    1. Appendix II: Non-convex Optimization Problems Depending on a Parameter

      Pages 375-384
    1. Comments

      Pages 385-390
    1. Bibliography

      Pages 391-401
    1. Index

      Page 402
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ISBN: 978-0-444-10898-2

ISSN: 0168-2024