Stable solutions of elliptic equations on Riemannian manifolds

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dc.creatorFarina, Alberto
dc.creatorSire, Yannick
dc.creatorValdinoci, Enrico
dc.date2008-09-17
dc.date.accessioned2026-07-07T10:03:40Z
dc.date.available2026-07-07T10:03:40Z
dc.descriptionThis paper is devoted to the study of rigidity properties for special solutions of nonlinear elliptic partial differential equations on smooth, boundaryless Riemannian manifolds. As far as stable solutions are concerned, we derive a new weighted Poincaré inequality which allows to prove Liouville type results and the flatness of the level sets of the solution in dimension 2, under suitable geometric assumptions on the ambient manifold.
dc.identifierhttps://arxiv.org/abs/0809.3025
dc.identifierhttp://arxiv.org/abs/0809.3025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169374
dc.subjectAnalysis of PDEs
dc.titleStable solutions of elliptic equations on Riemannian manifolds
dc.typetext

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