Sign changing solutions to a Bahri-Coron's problem in pierced domains

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dc.contributor.authorMusso, Monica
dc.contributor.authorPistoia, Angela
dc.date.accessioned2024-01-10T12:42:37Z
dc.date.available2024-01-10T12:42:37Z
dc.date.issued2008
dc.description.abstractWe consider the problem
dc.description.abstract{-Delta u = vertical bar u vertical bar(4/N-2u) in Omega/{B(xi(1),epsilon) boolean OR B(xi(2),epsilon)}, u = 0 on partial derivative(Omega\{B(xi(1),epsilon) boolean OR B(xi(2),epsilon)},
dc.description.abstractwhere Omega is a smooth bounded domain in R-N, N >= 3, xi(1), xi(2) are different points in Omega and epsilon is a small positive parameter. We show that, for epsilon small enough, the equation has at least one pair of sign changing solutions, whose positive and negative parts concentrate at xi(1) and xi(2) as epsilon goes to zero.
dc.format.extent12 páginas
dc.fuente.origenWOS
dc.identifier.eissn1553-5231
dc.identifier.issn1078-0947
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77526
dc.identifier.wosidWOS:000254122300015
dc.information.autorucMatemática;Musso M;S/I;1003201
dc.issue.numero1
dc.language.isoen
dc.nota.accesoSin adjunto
dc.pagina.final306
dc.pagina.inicio295
dc.publisherAMER INST MATHEMATICAL SCIENCES-AIMS
dc.revistaDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
dc.rightsregistro bibliográfico
dc.subjectcritical Sobolev exponent
dc.subjectpierced domain
dc.subjectsingle blow up
dc.subjectsign changing solutions
dc.subjectCRITICAL SOBOLEV EXPONENTS
dc.subjectSEMILINEAR ELLIPTIC-EQUATIONS
dc.subjectMINIMAL NODAL SOLUTIONS
dc.subjectCRITICAL GROWTH
dc.subjectVARIATIONAL PROBLEM
dc.subjectSYMMETRIC DOMAIN
dc.subjectEXISTENCE
dc.subjectTOPOLOGY
dc.subjectHOLES
dc.subjectCOMPACTNESS
dc.titleSign changing solutions to a Bahri-Coron's problem in pierced domains
dc.typeartículo
dc.volumen21
sipa.codpersvinculados1003201
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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