The Monge problem for supercritical Mane potentials on compact manifolds
Résumé
We prove the existence of an optimal map for the Monge problem when the cost is a supercritical Mane potential on a compact manifold. Supercritical Mane potentials form a class of costs which generalize the Riemannian distances. We describe new links between this transportation problem and viscosity subsolutions of the Hamilton-Jacobi equation.
Origine | Fichiers produits par l'(les) auteur(s) |
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