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 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.

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Detalles Bibliográficos
Autor principal:	Canuto, Bruno
Publicado:	2011
Materias:	Elliptic problem Following problem Lipschitz domain Local symmetry Unit ball
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02941449_v28_n4_p551_Canuto http://hdl.handle.net/20.500.12110/paper_02941449_v28_n4_p551_Canuto
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_02941449_v28_n4_p551_Canuto
record_format	dspace
spelling	paper:paper_02941449_v28_n4_p551_Canuto2023-06-08T15:27:04Z A local symmetry result for linear elliptic problems with solutions changing sign Canuto, Bruno Elliptic problem Following problem Lipschitz domain Local symmetry Unit ball 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. Fil:Canuto, B. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02941449_v28_n4_p551_Canuto http://hdl.handle.net/20.500.12110/paper_02941449_v28_n4_p551_Canuto
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Elliptic problem Following problem Lipschitz domain Local symmetry Unit ball
spellingShingle	Elliptic problem Following problem Lipschitz domain Local symmetry Unit ball Canuto, Bruno A local symmetry result for linear elliptic problems with solutions changing sign
topic_facet	Elliptic problem Following problem Lipschitz domain Local symmetry Unit ball
description	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.
author	Canuto, Bruno
author_facet	Canuto, Bruno
author_sort	Canuto, Bruno
title	A local symmetry result for linear elliptic problems with solutions changing sign
title_short	A local symmetry result for linear elliptic problems with solutions changing sign
title_full	A local symmetry result for linear elliptic problems with solutions changing sign
title_fullStr	A local symmetry result for linear elliptic problems with solutions changing sign
title_full_unstemmed	A local symmetry result for linear elliptic problems with solutions changing sign
title_sort	local symmetry result for linear elliptic problems with solutions changing sign
publishDate	2011
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02941449_v28_n4_p551_Canuto http://hdl.handle.net/20.500.12110/paper_02941449_v28_n4_p551_Canuto
work_keys_str_mv	AT canutobruno alocalsymmetryresultforlinearellipticproblemswithsolutionschangingsign AT canutobruno localsymmetryresultforlinearellipticproblemswithsolutionschangingsign
_version_	1768546158816264192

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

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