%0 Journal Article
%T The Monge problem for supercritical Mane potentials on compact manifolds
%A Patrick Bernard
%A Boris Buffoni
%J Mathematics
%D 2005
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0502136v2