Weak KAM pairs and Monge-Kantorovich duality

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dc.creatorBernard, Patrick
dc.creatorBuffoni, Boris
dc.date2005-11-30
dc.date2008-07-10
dc.date.accessioned2026-07-07T09:49:27Z
dc.date.available2026-07-07T09:49:27Z
dc.descriptionThe dynamics of globally minimizing orbits of Lagrangian systems can be studied using the Barrier function, as Mather first did, or using the pairs of weak KAM solutions introduced by Fathi. The central observation of the present paper is that Fathi weak KAM pairs are precisely the admissible pairs for the Kantorovich problem dual to the Monge transportation problem with the Barrier function as cost. We exploit this observation to recover several relations between the Barrier functions and the set of weak KAM pairs in an axiomatic and elementary way.
dc.descriptionAdvanced Studies in Pure Mathematics 47, 2 (2007)
dc.identifierhttps://arxiv.org/abs/math/0511746
dc.identifierhttp://arxiv.org/abs/math/0511746
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164591
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subject37J50; 49L25; 90C46
dc.titleWeak KAM pairs and Monge-Kantorovich duality
dc.typetext

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