Divergence operator and Poincaré inequalities on arbitrary bounded domainsy

Let Ω be an arbitrary bounded domain of ℝn. 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 Poincaré inequalities on Ω. We recover, in particular, well-known results...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Durana, R., Muschietti, M.-A., Russ, E., Tchamitchian, P.
Formato: JOUR
Materias:
Divergence
Geodesic distance
Inequalities
Poincaré
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_17476933_v55_n8_p795_Durana
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_17476933_v55_n8_p795_Durana
record_format dspace
spelling todo:paper_17476933_v55_n8_p795_Durana2023-10-03T16:32:06Z Divergence operator and Poincaré inequalities on arbitrary bounded domainsy Durana, R. Muschietti, M.-A. Russ, E. Tchamitchian, P. Divergence Geodesic distance Inequalities Poincaré Let Ω be an arbitrary bounded domain of ℝn. 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 Poincaré 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. © 2010 Taylor & Francis. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_17476933_v55_n8_p795_Durana
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Divergence
Geodesic distance
Inequalities
Poincaré
spellingShingle Divergence
Geodesic distance
Inequalities
Poincaré
Durana, R.
Muschietti, M.-A.
Russ, E.
Tchamitchian, P.
Divergence operator and Poincaré inequalities on arbitrary bounded domainsy
topic_facet Divergence
Geodesic distance
Inequalities
Poincaré
description Let Ω be an arbitrary bounded domain of ℝn. 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 Poincaré 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. © 2010 Taylor & Francis.
format JOUR
author Durana, R.
Muschietti, M.-A.
Russ, E.
Tchamitchian, P.
author_facet Durana, R.
Muschietti, M.-A.
Russ, E.
Tchamitchian, P.
author_sort Durana, R.
title Divergence operator and Poincaré inequalities on arbitrary bounded domainsy
title_short Divergence operator and Poincaré inequalities on arbitrary bounded domainsy
title_full Divergence operator and Poincaré inequalities on arbitrary bounded domainsy
title_fullStr Divergence operator and Poincaré inequalities on arbitrary bounded domainsy
title_full_unstemmed Divergence operator and Poincaré inequalities on arbitrary bounded domainsy
title_sort divergence operator and poincaré inequalities on arbitrary bounded domainsy
url http://hdl.handle.net/20.500.12110/paper_17476933_v55_n8_p795_Durana
work_keys_str_mv AT duranar divergenceoperatorandpoincareinequalitiesonarbitraryboundeddomainsy
AT muschiettima divergenceoperatorandpoincareinequalitiesonarbitraryboundeddomainsy
AT russe divergenceoperatorandpoincareinequalitiesonarbitraryboundeddomainsy
AT tchamitchianp divergenceoperatorandpoincareinequalitiesonarbitraryboundeddomainsy
_version_ 1782029454925627392

Ejemplares similares