Standing waves for supercritical nonlinear Schrodinger equations

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dc.contributor.authorDavila, Juan
dc.contributor.authordel Pino, Manuel
dc.contributor.authorMusso, Monica
dc.contributor.authorWei, Juncheng
dc.date.accessioned2024-01-10T12:43:00Z
dc.date.available2024-01-10T12:43:00Z
dc.date.issued2007
dc.description.abstractLet V (x) be a non-negative, bounded potential in R-N, N >= 3 and p supercritical, p > N+2/N-2. We look for positive solutions of the standing-wave nonlinear Schrodinger equation Delta u - V(x)u + u(P) = 0 in R-N, with u(x) -> 0 as vertical bar x vertical bar -> +infinity. We prove that if V(x) = 0(vertical bar x vertical bar(-2)) as vertical bar x vertical bar -> +infinity, then for N >= 4 and p > N+1/N-3 this problem admits a continuum of solutions. If in addition we have, for instance, V (x) = 0 (vertical bar x vertical bar-mu) with mu > N, then this result still holds provided that N >= 3 and p > N+2/N-2. Other conditions for solvability, involving behavior of V at infinity, are also provided. (C) 2007 Elsevier Inc. All rights reserved.
dc.fechaingreso.objetodigital17-04-2024
dc.format.extent35 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jde.2007.01.016
dc.identifier.eissn1090-2732
dc.identifier.issn0022-0396
dc.identifier.urihttps://doi.org/10.1016/j.jde.2007.01.016
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77558
dc.identifier.wosidWOS:000246347600007
dc.information.autorucMatemática;Musso M;S/I;1003201
dc.issue.numero1
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final198
dc.pagina.inicio164
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaJOURNAL OF DIFFERENTIAL EQUATIONS
dc.rightsacceso restringido
dc.subjectBOUND-STATES
dc.subjectSEMICLASSICAL STATES
dc.subjectELLIPTIC PROBLEMS
dc.subjectGROUND-STATES
dc.subjectR-N
dc.subjectEXISTENCE
dc.subjectPOTENTIALS
dc.subjectSTABILITY
dc.subjectV(INFINITY)=0
dc.subjectINFINITY
dc.titleStanding waves for supercritical nonlinear Schrodinger equations
dc.typeartículo
dc.volumen236
sipa.codpersvinculados1003201
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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