The Monge problem for supercritical Mane potentials on compact manifolds

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dc.creatorBernard, Patrick
dc.creatorBuffoni, Boris
dc.date2005-02-07
dc.date2007-01-16
dc.date.accessioned2026-07-07T07:40:57Z
dc.date.available2026-07-07T07:40:57Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0502136
dc.identifierhttp://arxiv.org/abs/math/0502136
dc.identifierAdvances in Mathematics 207 (2006) 691-706
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121936
dc.subjectDynamical Systems
dc.subjectOptimization and Control
dc.subject49Q20, 37J50, 35F20
dc.titleThe Monge problem for supercritical Mane potentials on compact manifolds
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