Date: 20 Oct 2004

Existence and stability results in the L 1 theory of optimal transportation

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Contents.

  • 1 Introduction

  • 2 Notation

  • 3 Duality and optimality conditions

  • 4 \(\Gamma \) -convergence and \(\Gamma \) -asymptotic expansions

  • 5 1-dimensional theory

  • 6 Transport rays and transport set

  • 7 A stability result

  • 8 A counterexample

  • 9 Appendix: disintegration of measures

  • References