Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent

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dc.contributor.authorEsposito, Pierpaolo
dc.contributor.authorMusso, Monica
dc.contributor.authorPistoia, Angela
dc.date.accessioned2024-01-10T12:04:44Z
dc.date.available2024-01-10T12:04:44Z
dc.date.issued2006
dc.description.abstractWe consider the boundary value problem Delta u + u(P) = 0 in a bounded, smooth domain Omega in R-2 with homogeneous Dirichlet boundary condition and p a large exponent. We find topological conditions on Omega which ensure the existence of a positive solution up concentrating at exactly m points as p -> infinity. In particular, for a nonsimply connected domain such a solution exists for any given m >= 1. (c) 2006 Elsevier Inc. All rights reserved.
dc.fechaingreso.objetodigital27-03-2024
dc.format.extent40 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jde.2006.01.023
dc.identifier.eissn1090-2732
dc.identifier.issn0022-0396
dc.identifier.urihttps://doi.org/10.1016/j.jde.2006.01.023
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/75868
dc.identifier.wosidWOS:000238729700002
dc.information.autorucMatemática;Musso M;S/I;1003201
dc.issue.numero1
dc.language.isoen
dc.nota.accesocontenido completo
dc.pagina.final68
dc.pagina.inicio29
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaJOURNAL OF DIFFERENTIAL EQUATIONS
dc.rightsacceso abierto
dc.subjectlarge exponent
dc.subjectconcentrating solutions
dc.subjectGreen's function
dc.subjectfinite-dimensional reduction
dc.subjectCRITICAL SOBOLEV EXPONENT
dc.subjectVARIATIONAL PROBLEM
dc.subjectDIRICHLET PROBLEM
dc.subjectSINGULAR LIMITS
dc.subjectEQUATIONS
dc.subjectCONSTRUCTION
dc.subjectCOMPACTNESS
dc.subjectEXISTENCE
dc.subjectDOMAINS
dc.titleConcentrating solutions for a planar elliptic problem involving nonlinearities with large exponent
dc.typeartículo
dc.volumen227
sipa.codpersvinculados1003201
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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