Mather problem and viscosity solutions in the stationary setting

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dc.creatorGomes, Diogo A.
dc.creatorOliveira, Elismar R.
dc.date2009-03-09
dc.date.accessioned2026-07-07T12:50:32Z
dc.date.available2026-07-07T12:50:32Z
dc.descriptionIn this paper we discuss the Mather problem for stationary Lagrangians, that is Lagrangians $L:\Rr^n\times \Rr^n\times Ω\to \Rr$, where $Ω$ is a compact metric space on which $\Rr^n$ acts through an action which leaves $L$ invariant. This setting allow us to generalize the standard Mather problem for quasi-periodic and almost-periodic Lagrangians. Our main result is the existence of stationary Mather measures invariant under the Euler-Lagrange flow which are supported in a graph. We also obtain several estimates for viscosity solutions of Hamilton-Jacobi equations for the discounted cost infinite horizon problem.
dc.identifierhttps://arxiv.org/abs/0903.1594
dc.identifierhttp://arxiv.org/abs/0903.1594
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222712
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.titleMather problem and viscosity solutions in the stationary setting
dc.typetext

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