SELECTED CHAPTERS IN THE
 CALCULUS OF VARIATIONS, J. MOSER, ETH 1988
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Table of contents

  • Chapter I: One-dimensional variational problems
    • Regularity of the minimals
    • Examples
    • The accessoric variational problem
    • Extremal fields in the case n=1
    • The Hamiltonian description
    • Exercices for Chapter I
  • Chapter II: Extremal fields and global minimals
    • Global extremal fields
    • An existence theorem
    • Properties of global minimals
    • Compactnes properties of global minimals
    • Irrational rotation numbers, Mather sets
    • Rational rotation numbers
    • Exercices for Chapter II
  • Chapter III: Discrete systems, Applications
    • Monotone twist maps
    • A discrete variational problem
    • Three examples
    • The standard map
    • The Birkhoff billiard
    • The dual billiard
    • A second variational problem
    • Minimal geodesics on the torus
    • Hedlund's metric on the torus
    • Exercices for Chapter III
  • Added literature (- April 2002)
  • Literature
  • Index
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