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• W2080883268 abstract "In recent years different authors ([4, 16, 17]) have noticed and investigated some analogy between Mather’s theory of minimal measures in Lagrangian dynamic and the mass transportation (or Monge-Kantorovich) problem. We replace the closure and homological constraints of Mather’s problem by boundary terms and we investigate the equivalence with the mass transportation problem. An Hamiltonian duality formula for the mass transportation and the equivalence with Brenier’s formulation are also established." @default.
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• W2080883268 date "2007-08-13" @default.
• W2080883268 modified "2023-10-16" @default.
• W2080883268 title "On action minimizing measures for the Monge-Kantorovich problem" @default.
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• W2080883268 doi "https://doi.org/10.1007/s00030-007-5011-6" @default.
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