On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity

dc.contributor.authorEsposito, Pierpaolo
dc.contributor.authorMusso, Monica
dc.contributor.authorPistoia, Angela
dc.date.accessioned2024-01-10T13:15:53Z
dc.date.available2024-01-10T13:15:53Z
dc.date.issued2007
dc.description.abstractWe study the existence of nodal solutions to the boundary value problem -Delta u = \u\(p-1)u in a bounded, smooth domain Omega in R-2, with homogeneous Dirichlet boundary condition, when p is a large exponent. We prove that, for p large enough, there exist at least two pairs of solutions which change sign exactly once and whose nodal lines intersect the boundary of Omega.
dc.fechaingreso.objetodigital2024-05-14
dc.format.extent23 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1112/plms/pdl020
dc.identifier.eissn1460-244X
dc.identifier.issn0024-6115
dc.identifier.urihttps://doi.org/10.1112/plms/pdl020
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78540
dc.identifier.wosidWOS:000245538500008
dc.information.autorucMatemática;Musso M;S/I;1003201
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final519
dc.pagina.inicio497
dc.publisherWILEY
dc.revistaPROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
dc.rightsacceso restringido
dc.subjectQUALITATIVE PROPERTIES
dc.subjectSINGULAR LIMITS
dc.subjectEQUATIONS
dc.titleOn the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity
dc.typeartículo
dc.volumen94
sipa.codpersvinculados1003201
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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