The supercritical Lane-Emden-Fowler equation in exterior domains

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dc.contributor.authorDavila, Juan
dc.contributor.authordel Pino, Manuel
dc.contributor.authorMuss, Monica
dc.date.accessioned2024-01-10T14:22:11Z
dc.date.available2024-01-10T14:22:11Z
dc.date.issued2007
dc.description.abstractWe consider the exterior problem
dc.description.abstractDelta u + u(p) = 0, u > 0 in IRN\(D) over bar,
dc.description.abstractu = 0 on partial derivative D, lim(vertical bar x vertical bar ->+infinity) u(x) = 0
dc.description.abstractwhere D is a bounded, smooth domain in IRN, for supercritical powers p > 1. We prove that if N > 4 and p > N-3/N-3, then this problem admits infinitely many solutions. If D is symmetric with respect to N axes, this result holds whenever N >= 3 and p > N+2/N-2.
dc.fechaingreso.objetodigital2024-05-08
dc.format.extent19 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1080/03605300600854209
dc.identifier.eissn1532-4133
dc.identifier.issn0360-5302
dc.identifier.urihttps://doi.org/10.1080/03605300600854209
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79878
dc.identifier.wosidWOS:000250012900010
dc.information.autorucMatemática;Del Pino M;S/I;99446
dc.information.autorucMatemática;Musso M;S/I;1003201
dc.issue.numero7-9
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final1243
dc.pagina.inicio1225
dc.publisherTAYLOR & FRANCIS INC
dc.revistaCOMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
dc.rightsacceso restringido
dc.subjectcritical exponents
dc.subjectlinearized operators
dc.subjectslow decay solutions
dc.subjectPOSITIVE SOLUTIONS
dc.subjectELLIPTIC-EQUATIONS
dc.subjectDIRICHLET PROBLEMS
dc.subjectBOUNDED DOMAINS
dc.subjectDELTA-U
dc.subjectEXISTENCE
dc.subjectCONVERGENCE
dc.titleThe supercritical Lane-Emden-Fowler equation in exterior domains
dc.typeartículo
dc.volumen32
sipa.codpersvinculados99446
sipa.codpersvinculados1003201
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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