The supercritical Lane-Emden-Fowler equation in exterior domains

dc.creatorDavila, Juan
dc.creatordel Pino, Manuel
dc.creatorMuss, Monica
dc.date.accessioned2024-01-10T14:22:11Z
dc.date.available2024-01-10T14:22:11Z
dc.date.created2024-01-10T14:22:11Z
dc.date.issued2007
dc.identifier10.1080/03605300600854209
dc.identifier1532-4133
dc.identifier0360-5302
dc.identifierhttps://doi.org/10.1080/03605300600854209
dc.identifierhttps://repositorio.uc.cl/handle/11534/79878
dc.identifierWOS:000250012900010
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.languageen
dc.publisherTAYLOR & FRANCIS INC
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


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