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Pré-Publication, Document De Travail Année : 2005

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.
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Dates et versions

hal-00004172 , version 1 (07-02-2005)
hal-00004172 , version 2 (16-01-2007)

Identifiants

Citer

Patrick Bernard, Boris Buffoni. The Monge problem for supercritical Mane potentials on compact manifolds. 2005. ⟨hal-00004172v1⟩
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