Regularity of the minimizers in the composite membrane problem in R^2

Simple item page
dc.creatorChanillo, Sagun
dc.creatorKenig, Carlos E.
dc.creatorTO, Tung
dc.date2008-04-07
dc.date.accessioned2026-07-07T09:30:51Z
dc.date.available2026-07-07T09:30:51Z
dc.descriptionWe study the regularity of minimizers to the composite membrane problem in the plane (ie given a domain omega and a positive number A, smaller than the measure of omega, minimize the first Dirichlet eigenvalue for the Schrodinger operator with potential equal to a fixed multiple of the characteristic function of a subset D of omega, with measure A). We show that for minimizers, the boundary of D is analytic.
dc.identifierhttps://arxiv.org/abs/0804.1094
dc.identifierhttp://arxiv.org/abs/0804.1094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158256
dc.subjectAnalysis of PDEs
dc.subject35R35
dc.titleRegularity of the minimizers in the composite membrane problem in R^2
dc.typetext

Files

Collections

arXiv