The Monge problem for supercritical Mane potentials on compact manifolds

Details The Monge problem for supercritical Mane potentials on compact manifolds The Monge problem for supercritical Mane potentials on compact manifolds

2005-02-07

arxiv.org/abs/math/0502136v2

Advances in Mathematics 207 (2006) 691-706

Mathematics

Dynamical Systems

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

The Monge problem for supercritical Mane potentials on compact manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Monge problem for supercritical Mane potentials on compact manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Monge problem for supercritical Mane potentials on compact manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-129322