A local symmetry result for linear elliptic problems with solutions changing sign

We prove that the only domain Ω such that there exists a solution to the following problem in Ω, on ∂Ω, and , for a given constant c, is the unit ball , if we assume that Ω lies in an appropriate class of Lipschitz domains.

Detalles Bibliográficos
Autor: Canuto, Bruno
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/14912
Acceso en línea:http://hdl.handle.net/11336/14912
Access Level:acceso abierto
Palabra clave:Overdetermined Elliptic Problems
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:We prove that the only domain Ω such that there exists a solution to the following problem in Ω, on ∂Ω, and , for a given constant c, is the unit ball , if we assume that Ω lies in an appropriate class of Lipschitz domains.