The \infty eigenvalue problem and a problem of optimal transportation

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dc.creatorChampion, Thierry
dc.creatorDe Pascale, Luigi
dc.creatorJimenez, Chloé
dc.date2008-11-12
dc.date.accessioned2026-07-07T10:17:44Z
dc.date.available2026-07-07T10:17:44Z
dc.descriptionThe so-called eigenvalues and eigenfunctions of the infinite Laplacian $Δ_\infty$ are defined through an asymptotic study of that of the usual $p$-Laplacian $Δ_p$, this brings to a characterization via a non-linear eigenvalue problem for a PDE satisfied in the viscosity sense. In this paper, we obtain an other characterization of the first eigenvalue via a problem of optimal transportation, and recover properties of the first eigenvalue and corresponding positive eigenfunctions.
dc.identifierhttps://arxiv.org/abs/0811.1934
dc.identifierhttp://arxiv.org/abs/0811.1934
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173958
dc.subjectOptimization and Control
dc.titleThe \infty eigenvalue problem and a problem of optimal transportation
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