Positive solutions of nonlinear problems involving the square root of the Laplacian

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dc.creatorCabre, Xavier
dc.creatorTan, Jinggang
dc.date2009-05-08
dc.date.accessioned2026-07-07T13:13:04Z
dc.date.available2026-07-07T13:13:04Z
dc.descriptionWe consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive solutions to problems with power nonlinearities, we establish existence and regularity results, as well as a priori estimates of Gidas-Spruck type. In addition, among other results, we prove a symmetry theorem of Gidas-Ni-Nirenberg type.
dc.identifierhttps://arxiv.org/abs/0905.1257
dc.identifierhttp://arxiv.org/abs/0905.1257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229772
dc.subjectAnalysis of PDEs
dc.titlePositive solutions of nonlinear problems involving the square root of the Laplacian
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