Optimization problem for extremals of the trace inequality in domains with holes

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dc.conicet.organizacionUniversidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática
dc.conicet.organizacionConsejo Nacional de Investigaciones Científicas y Técnicas
dc.conicet.paisOrganizacionArgentina
dc.conicet.paisOrganizacionArgentina
dc.conicet.produccionid5678806
dc.contributor.authordel Pezzo, Leandro Martin
dc.date.accessioned2017-05-16T15:21:13Z
dc.date.available2017-05-16T15:21:13Z
dc.date.issued2010-08
dc.date.updated2017-05-15T21:09:08Z
dc.description.abstractWe study the Sobolev trace constant for functions defined in a bounded domain Ω that vanish in the subset A. We find a formula for the first variation of the Sobolev trace with respect to the hole. As a consequence of this formula, we prove that when Ω is a centered ball, the symmetric hole is critical when we consider deformation that preserve volume but is not optimal for some case.es
dc.description.filFil: del Pezzo, Leandro Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.formatapplication/pdfes
dc.identifier.citationdel Pezzo, Leandro Martin; Optimization problem for extremals of the trace inequality in domains with holes; World Scientific; Communications In Contemporary Mathematics; 12; 4; 8-2010; 569-586es
dc.identifier.eissn1793-6683es
dc.identifier.issn0219-1997es
dc.identifier.urihttp://hdl.handle.net/11336/16533
dc.journal.number4es
dc.journal.pagination569-586es
dc.journal.paisSingapures
dc.journal.titleCommunications In Contemporary Mathematicses
dc.journal.volume12es
dc.language.isoenges
dc.publisherWorld Scientifices
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0219199710003920
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S0219199710003920
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0809.0246
dc.rightsinfo:eu-repo/semantics/openAccess*
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/*
dc.subjectSobolev Trace Embeddinges
dc.subjectShape Derivativees
dc.subjectSteklov Eigenvalueses
dc.subject.classificationMatemática Puraes
dc.subject.classificationMatemáticases
dc.subject.classificationCIENCIAS NATURALES Y EXACTASes
dc.titleOptimization problem for extremals of the trace inequality in domains with holeses
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion

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