Boundary singularities for weak solutions of semilinear elliptic problems

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dc.contributor.authordel Pino, Manuel
dc.contributor.authorMusso, Monica
dc.contributor.authorPacard, Frank
dc.date.accessioned2024-01-10T12:37:51Z
dc.date.available2024-01-10T12:37:51Z
dc.date.issued2007
dc.description.abstractLet Omega be a bounded domain in R-N, N >= 2, with smooth boundary partial derivative Omega. We construct positive weak solutions of the problem Delta u + u(p) = 0 in Omega, which vanish in a suitable trace sense on partial derivative Omega, but which are singular at prescribed isolated points if p is equal or slightly above N+1/N-1. Similar constructions are carried out for solutions which are singular at any given embedded submanifold of partial derivative Omega of dimension k epsilon [0, N -2], if p equals or it is slightly above N-k-1/N-k-1, and even on countable families of these objects, dense on a given closed set. The role of the exponent N+1/N-1 (first discovered by Brezis and Turner [H. Brezis, R. Turner, N-1 On a class of superlinear elliptic problems, Comm. Partial Differential Equations 2 (1977) 601-614]) for boundary regularity, parallels that of N/N-2 for interior singularities. (c) 2007 Elsevier Inc. All rights reserved.
dc.fechaingreso.objetodigital17-04-2024
dc.format.extent32 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jfa.2007.05.023
dc.identifier.eissn1096-0783
dc.identifier.issn0022-1236
dc.identifier.urihttps://doi.org/10.1016/j.jfa.2007.05.023
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76936
dc.identifier.wosidWOS:000251549500008
dc.information.autorucMatemática;Musso M;S/I;1003201
dc.issue.numero1
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final272
dc.pagina.inicio241
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaJOURNAL OF FUNCTIONAL ANALYSIS
dc.rightsacceso restringido
dc.subjectprescribed boundary singularitics
dc.subjectvery weak solution
dc.subjectcritical exponents
dc.subjectEXISTENCE
dc.subjectEQUATIONS
dc.subjectDOMAINS
dc.titleBoundary singularities for weak solutions of semilinear elliptic problems
dc.typeartículo
dc.volumen253
sipa.codpersvinculados1003201
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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