Divergence operator and Poincaré inequalities on arbitrary bounded domains

Autores
Duran, Ricardo Guillermo; Muschietti, Maria Amelia; Russ, Emmanuel; Tchamitchian, Philippe
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let Ω be an arbitrary bounded domain of n. We study the right invertibility of the divergence on Ω in weighted Lebesgue and Sobolev spaces on Ω, and rely this invertibility to a geometric characterization of Ω and to weighted Poincar inequalities on Ω. We recover, in particular, well-known results on the right invertibility of the divergence in Sobolev spaces when Ω is Lipschitz or, more generally, when Ω is a John domain, and focus on the case of s-John domains.
Fil: Duran, Ricardo Guillermo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Muschietti, Maria Amelia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Russ, Emmanuel. Université Paul Cézanne; Francia
Fil: Tchamitchian, Philippe. Université Paul Cézanne; Francia
Materia
Divergence
Poincaré inequalities
Geodesic distance
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/282690
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Divergence operator and Poincaré inequalities on arbitrary bounded domainsDuran, Ricardo GuillermoMuschietti, Maria AmeliaRuss, EmmanuelTchamitchian, PhilippeDivergencePoincaré inequalitiesGeodesic distancehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let Ω be an arbitrary bounded domain of n. We study the right invertibility of the divergence on Ω in weighted Lebesgue and Sobolev spaces on Ω, and rely this invertibility to a geometric characterization of Ω and to weighted Poincar inequalities on Ω. We recover, in particular, well-known results on the right invertibility of the divergence in Sobolev spaces when Ω is Lipschitz or, more generally, when Ω is a John domain, and focus on the case of s-John domains.Fil: Duran, Ricardo Guillermo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Muschietti, Maria Amelia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Russ, Emmanuel. Université Paul Cézanne; FranciaFil: Tchamitchian, Philippe. Université Paul Cézanne; FranciaTaylor & Francis2010-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/282690Duran, Ricardo Guillermo; Muschietti, Maria Amelia; Russ, Emmanuel; Tchamitchian, Philippe; Divergence operator and Poincaré inequalities on arbitrary bounded domains; Taylor & Francis; Complex Variables and Elliptic Equations; 55; 8-10; 8-2010; 795-8161747-6941CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/17476931003786659info:eu-repo/semantics/altIdentifier/doi/10.1080/17476931003786659info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-03-11T12:14:54Zoai:ri.conicet.gov.ar:11336/282690instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-03-11 12:14:55.001CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Divergence operator and Poincaré inequalities on arbitrary bounded domains
title Divergence operator and Poincaré inequalities on arbitrary bounded domains
spellingShingle Divergence operator and Poincaré inequalities on arbitrary bounded domains
Duran, Ricardo Guillermo
Divergence
Poincaré inequalities
Geodesic distance
title_short Divergence operator and Poincaré inequalities on arbitrary bounded domains
title_full Divergence operator and Poincaré inequalities on arbitrary bounded domains
title_fullStr Divergence operator and Poincaré inequalities on arbitrary bounded domains
title_full_unstemmed Divergence operator and Poincaré inequalities on arbitrary bounded domains
title_sort Divergence operator and Poincaré inequalities on arbitrary bounded domains
dc.creator.none.fl_str_mv Duran, Ricardo Guillermo
Muschietti, Maria Amelia
Russ, Emmanuel
Tchamitchian, Philippe
author Duran, Ricardo Guillermo
author_facet Duran, Ricardo Guillermo
Muschietti, Maria Amelia
Russ, Emmanuel
Tchamitchian, Philippe
author_role author
author2 Muschietti, Maria Amelia
Russ, Emmanuel
Tchamitchian, Philippe
author2_role author
author
author
dc.subject.none.fl_str_mv Divergence
Poincaré inequalities
Geodesic distance
topic Divergence
Poincaré inequalities
Geodesic distance
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let Ω be an arbitrary bounded domain of n. We study the right invertibility of the divergence on Ω in weighted Lebesgue and Sobolev spaces on Ω, and rely this invertibility to a geometric characterization of Ω and to weighted Poincar inequalities on Ω. We recover, in particular, well-known results on the right invertibility of the divergence in Sobolev spaces when Ω is Lipschitz or, more generally, when Ω is a John domain, and focus on the case of s-John domains.
Fil: Duran, Ricardo Guillermo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Muschietti, Maria Amelia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Russ, Emmanuel. Université Paul Cézanne; Francia
Fil: Tchamitchian, Philippe. Université Paul Cézanne; Francia
description Let Ω be an arbitrary bounded domain of n. We study the right invertibility of the divergence on Ω in weighted Lebesgue and Sobolev spaces on Ω, and rely this invertibility to a geometric characterization of Ω and to weighted Poincar inequalities on Ω. We recover, in particular, well-known results on the right invertibility of the divergence in Sobolev spaces when Ω is Lipschitz or, more generally, when Ω is a John domain, and focus on the case of s-John domains.
publishDate 2010
dc.date.none.fl_str_mv 2010-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/282690
Duran, Ricardo Guillermo; Muschietti, Maria Amelia; Russ, Emmanuel; Tchamitchian, Philippe; Divergence operator and Poincaré inequalities on arbitrary bounded domains; Taylor & Francis; Complex Variables and Elliptic Equations; 55; 8-10; 8-2010; 795-816
1747-6941
CONICET Digital
CONICET
url http://hdl.handle.net/11336/282690
identifier_str_mv Duran, Ricardo Guillermo; Muschietti, Maria Amelia; Russ, Emmanuel; Tchamitchian, Philippe; Divergence operator and Poincaré inequalities on arbitrary bounded domains; Taylor & Francis; Complex Variables and Elliptic Equations; 55; 8-10; 8-2010; 795-816
1747-6941
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/17476931003786659
info:eu-repo/semantics/altIdentifier/doi/10.1080/17476931003786659
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.977003

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