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Abstract:

We prove that the only domain Ω such that there exists a solution to the following problem Δu+ω2u=-1 in Ω, u=0 on δΩ, and 1|δΩ|∫δΩδ nu=c, for a given constant c, is the unit ball B1, if we assume that Ω lies in an appropriate class of Lipschitz domains. © 2011 Elsevier Masson SAS.

Registro:

Documento: Artículo
Título:A local symmetry result for linear elliptic problems with solutions changing sign
Autor:Canuto, B.
Filiación:Conicet and Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Esmeralda 2043, Florida (1602), P.cia de Buenos Aires, Argentina
Palabras clave:Elliptic problem; Following problem; Lipschitz domain; Local symmetry; Unit ball
Año:2011
Volumen:28
Número:4
Página de inicio:551
Página de fin:564
DOI: http://dx.doi.org/10.1016/j.anihpc.2011.03.005
Título revista:Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Título revista abreviado:Anna Inst Henri Poincare Annal Anal Non Lineaire
ISSN:02941449
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_02941449_v28_n4_p551_Canuto.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02941449_v28_n4_p551_Canuto

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Citas:

---------- APA ----------
(2011) . A local symmetry result for linear elliptic problems with solutions changing sign. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 28(4), 551-564.
http://dx.doi.org/10.1016/j.anihpc.2011.03.005
---------- CHICAGO ----------
Canuto, B. "A local symmetry result for linear elliptic problems with solutions changing sign" . Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire 28, no. 4 (2011) : 551-564.
http://dx.doi.org/10.1016/j.anihpc.2011.03.005
---------- MLA ----------
Canuto, B. "A local symmetry result for linear elliptic problems with solutions changing sign" . Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, vol. 28, no. 4, 2011, pp. 551-564.
http://dx.doi.org/10.1016/j.anihpc.2011.03.005
---------- VANCOUVER ----------
Canuto, B. A local symmetry result for linear elliptic problems with solutions changing sign. Anna Inst Henri Poincare Annal Anal Non Lineaire. 2011;28(4):551-564.
http://dx.doi.org/10.1016/j.anihpc.2011.03.005