dc.creatorDavila, J
dc.creatorMontenegro, M
dc.date2005
dc.date2014-11-14T19:03:13Z
dc.date2015-11-26T17:16:30Z
dc.date2014-11-14T19:03:13Z
dc.date2015-11-26T17:16:30Z
dc.date.accessioned2018-03-29T00:04:40Z
dc.date.available2018-03-29T00:04:40Z
dc.identifierAnnales De L Institut Henri Poincare-analyse Non Lineaire. Gauthier-villars/editions Elsevier, v. 22, n. 3, n. 303, n. 330, 2005.
dc.identifier0294-1449
dc.identifierWOS:000229172800003
dc.identifier10.1016/j.anihpc.2004.07.006
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/62022
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/62022
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/62022
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1282297
dc.descriptionWe prove existence of nonnegative solutions to -Delta u + u = 0 on a smooth bounded domain Omega subject to the singular boundary derivative condition partial derivative u/partial derivative v = -u(-beta) + lambda f (x, u) on partial derivative Omega boolean AND {u > 0} with 0 < beta < 1. There is a constant lambda* such that for 0 < lambda < lambda* every nonnegative solution vanishes on a subset of the boundary with positive surface measure. For lambda > lambda* we show the existence of a maximal positive solution. We analyze its linearized stability and its regularity. Minimizers of the energy functional related to the problem are shown to be regular and satisfy the equation together with the boundary condition. (c) 2005 Elsevier SAS. All rights reserved.
dc.description22
dc.description3
dc.description303
dc.description330
dc.languageen
dc.publisherGauthier-villars/editions Elsevier
dc.publisherParis
dc.publisherFrança
dc.relationAnnales De L Institut Henri Poincare-analyse Non Lineaire
dc.relationAnn. Inst. Henri Poincare-Anal. Non Lineaire
dc.rightsaberto
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectEquations
dc.subjectRegularity
dc.titleNonlinear problems with solutions exhibiting a free boundary on the boundary
dc.typeArtículos de revistas


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