Asymptotics of best Sobolev constants on thin manifolds

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We study the asymptotic behaviour of best Sobolev constants on a compact manifold with boundary that we contract in k directions or to a point. We find in the limit best Sobolev constants for weighted Sobolev spaces of the limit manifold. © 2008 Elsevier Inc. All rights reserved.

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Autor principal: Saintier, N.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2009
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00220396_v246_n7_p2876_Saintier
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_00220396_v246_n7_p2876_Saintier2023-06-12T16:43:38Z Asymptotics of best Sobolev constants on thin manifolds J. Differ. Equ. 2009;246(7):2876-2890 Saintier, N. We study the asymptotic behaviour of best Sobolev constants on a compact manifold with boundary that we contract in k directions or to a point. We find in the limit best Sobolev constants for weighted Sobolev spaces of the limit manifold. © 2008 Elsevier Inc. All rights reserved. 2009 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00220396_v246_n7_p2876_Saintier
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
description We study the asymptotic behaviour of best Sobolev constants on a compact manifold with boundary that we contract in k directions or to a point. We find in the limit best Sobolev constants for weighted Sobolev spaces of the limit manifold. © 2008 Elsevier Inc. All rights reserved.
format Artículo
Artículo
publishedVersion
author Saintier, N.
spellingShingle Saintier, N.
Asymptotics of best Sobolev constants on thin manifolds
author_facet Saintier, N.
author_sort Saintier, N.
title Asymptotics of best Sobolev constants on thin manifolds
title_short Asymptotics of best Sobolev constants on thin manifolds
title_full Asymptotics of best Sobolev constants on thin manifolds
title_fullStr Asymptotics of best Sobolev constants on thin manifolds
title_full_unstemmed Asymptotics of best Sobolev constants on thin manifolds
title_sort asymptotics of best sobolev constants on thin manifolds
publishDate 2009
url http://hdl.handle.net/20.500.12110/paper_00220396_v246_n7_p2876_Saintier
work_keys_str_mv AT saintiern asymptoticsofbestsobolevconstantsonthinmanifolds
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