On spikes concentrating on line-segments to a semilinear Neumann problem

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dc.contributor.authorAo, Weiwei
dc.contributor.authorMusso, Monica
dc.contributor.authorWei, Juncheng
dc.date.accessioned2024-01-10T13:51:25Z
dc.date.available2024-01-10T13:51:25Z
dc.date.issued2011
dc.description.abstractWe consider the following singularly perturbed Neumann problem
dc.description.abstract-epsilon(2)Delta u + u - u(p) = 0 in Omega, u > 0 in Omega,
dc.description.abstractpartial derivative u/partial derivative v = 0 on partial derivative Omega,
dc.description.abstractwhere p is subcritical and Omega is a smooth and bounded domain in R-n. We construct a new class of solutions which consist of large number of spikes concentrating on an interior straight-line intersecting with partial derivative Omega orthogonally. Our results show that higher-dimensional concentration can exist without resonance condition. (C) 2011 Elsevier Inc. All rights reserved.
dc.description.funderFondecyt, Chile
dc.description.funderRGC of Hong Kong
dc.fechaingreso.objetodigital17-04-2024
dc.format.extent21 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jde.2011.05.009
dc.identifier.eissn1090-2732
dc.identifier.issn0022-0396
dc.identifier.urihttps://doi.org/10.1016/j.jde.2011.05.009
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79600
dc.identifier.wosidWOS:000291900800006
dc.information.autorucMatemática;Musso M ;S/I;1003201
dc.issue.numero4-5
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final901
dc.pagina.inicio881
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaJOURNAL OF DIFFERENTIAL EQUATIONS
dc.rightsacceso restringido
dc.subjectINTERIOR PEAK SOLUTIONS
dc.subjectMULTIPEAK SOLUTIONS
dc.subjectLAYER SOLUTIONS
dc.subjectEXISTENCE
dc.subjectEQUILIBRIA
dc.subjectEQUATION
dc.subjectENERGY
dc.titleOn spikes concentrating on line-segments to a semilinear Neumann problem
dc.typeartículo
dc.volumen251
sipa.codpersvinculados1003201
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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