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

dc.creatorEsposito, Pierpaolo
dc.creatorMusso, Monica
dc.creatorPistoia, Angela
dc.date.accessioned2024-01-10T13:15:53Z
dc.date.available2024-01-10T13:15:53Z
dc.date.created2024-01-10T13:15:53Z
dc.date.issued2007
dc.identifier10.1112/plms/pdl020
dc.identifier1460-244X
dc.identifier0024-6115
dc.identifierhttps://doi.org/10.1112/plms/pdl020
dc.identifierhttps://repositorio.uc.cl/handle/11534/78540
dc.identifierWOS:000245538500008
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.languageen
dc.publisherWILEY
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


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