Instability results for an elliptic equation on compact Riemannian manifolds with non-negative Ricci curvature

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dc.creatorNascimento, Arnaldo
dc.creatorGonçalves, Alexandre
dc.date2008-06-30
dc.date.accessioned2026-07-07T09:47:27Z
dc.date.available2026-07-07T09:47:27Z
dc.descriptionWe prove nonexistence of nonconstant local minimizers for a class of functionals, which typically appears in the scalar two-phase field model, over a smooth N-dimensional Riemannian manifold without boundary with non-negative Ricci curvature. Conversely for a class of surfaces possessing a simple closed geodesic along which the Gauss curvature is negative we prove existence of nonconstant local minimizers for the same class of functionals.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0806.4885
dc.identifierhttp://arxiv.org/abs/0806.4885
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163883
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.subject35J20; 58J05
dc.titleInstability results for an elliptic equation on compact Riemannian manifolds with non-negative Ricci curvature
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