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Positive solutions of nonlinear problems involving the square root of the Laplacian
dc.contributor.author | Cabré Vilagut, Xavier |
dc.contributor.author | Tan, Jinggang |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2010-06-22T08:38:56Z |
dc.date.available | 2010-06-22T08:38:56Z |
dc.date.issued | 2009-05 |
dc.identifier.uri | http://hdl.handle.net/2117/7783 |
dc.description.abstract | We 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.format.extent | 43 p. |
dc.language.iso | eng |
dc.relation.ispartofseries | [prepr200908CabT] |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.other | Fractional Laplacian |
dc.subject.other | critical exponent |
dc.subject.other | nonlinear mixed boundary problem |
dc.subject.other | a priori estimates |
dc.subject.other | nonlinear Liouville theorems |
dc.subject.other | moving planes method |
dc.title | Positive solutions of nonlinear problems involving the square root of the Laplacian |
dc.type | External research report |
dc.subject.lemac | Teories no-lineals |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.relation.publisherversion | http://www.ma1.upc.edu/recerca/preprints2009.html |
dc.rights.access | Open Access |
local.identifier.drac | 1176371 |
dc.description.version | Preprint |
local.personalitzacitacio | true |
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