SUPERCRITICAL PROBLEMS IN DOMAINS WITH THIN TOROIDAL HOLES

Simple item page
dc.contributor.authorKim, Seunghyeok
dc.contributor.authorPistoia, Angela
dc.date.accessioned2025-01-23T21:44:52Z
dc.date.available2025-01-23T21:44:52Z
dc.date.issued2014
dc.description.abstractIn this paper we study the Lane-Emden-Fowler equation
dc.description.abstract(P)(epsilon) {(Delta)u+vertical bar u vertical bar(q-2) u = 0 in D-epsilon,D- u = 0 on partial derivative D-epsilon.
dc.description.abstractHere D-c = D\ {x epsilon D : dist (x, Gamma(l) ) <= epsilon }, D is a smooth bounded domain in R-N, Gamma(l) is an l-dimensional closed manifold such that Gamma l subset of D with 1 <= l <= N - 3 and q = 2(N - l)/ N-l-2. We prove that, under some symmetry assumptions, the number of sign changing solutions to (P)(epsilon), increases as goes to zero.
dc.description.funderFondecyt, Chile
dc.fuente.origenWOS
dc.identifier.doi10.3934/dcds.2014.34.4671
dc.identifier.eissn1553-5231
dc.identifier.issn1078-0947
dc.identifier.urihttps://doi.org/10.3934/dcds.2014.34.4671
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101701
dc.identifier.wosidWOS:000336668200014
dc.issue.numero11
dc.language.isoen
dc.pagina.final4688
dc.pagina.inicio4671
dc.revistaDiscrete and continuous dynamical systems
dc.rightsacceso restringido
dc.subjectSupercritical problem
dc.subjectconcentration on l-dimensional manifolds
dc.titleSUPERCRITICAL PROBLEMS IN DOMAINS WITH THIN TOROIDAL HOLES
dc.typeartículo
dc.volumen34
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
Files
Collections
Artículos de revistas