General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities

Detalhes bibliográficos
Autor(a) principal: Ceccon,Jurandir
Data de Publicação: 2005
Outros Autores: Montenegro,Marcos
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000400001
Resumo: We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using mass transportation and convex analysis results. Explicit extremals and the computation of some optimal constants are also provided. In particular we extend the optimal Gagliardo-Nirenberg inequality proved by Del Pino and Dolbeault 2003 and the optimal inequalities proved by Cordero-Erausquin et al. 2004.
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spelling General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalitiesbest constantsGagliardo-Nirenberg inequalitiesmass transportationconvex analysisWe prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using mass transportation and convex analysis results. Explicit extremals and the computation of some optimal constants are also provided. In particular we extend the optimal Gagliardo-Nirenberg inequality proved by Del Pino and Dolbeault 2003 and the optimal inequalities proved by Cordero-Erausquin et al. 2004.Academia Brasileira de Ciências2005-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000400001Anais da Academia Brasileira de Ciências v.77 n.4 2005reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652005000400001info:eu-repo/semantics/openAccessCeccon,JurandirMontenegro,Marcoseng2005-11-29T00:00:00Zoai:scielo:S0001-37652005000400001Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2005-11-29T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
title General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
spellingShingle General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
Ceccon,Jurandir
best constants
Gagliardo-Nirenberg inequalities
mass transportation
convex analysis
title_short General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
title_full General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
title_fullStr General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
title_full_unstemmed General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
title_sort General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
author Ceccon,Jurandir
author_facet Ceccon,Jurandir
Montenegro,Marcos
author_role author
author2 Montenegro,Marcos
author2_role author
dc.contributor.author.fl_str_mv Ceccon,Jurandir
Montenegro,Marcos
dc.subject.por.fl_str_mv best constants
Gagliardo-Nirenberg inequalities
mass transportation
convex analysis
topic best constants
Gagliardo-Nirenberg inequalities
mass transportation
convex analysis
description We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using mass transportation and convex analysis results. Explicit extremals and the computation of some optimal constants are also provided. In particular we extend the optimal Gagliardo-Nirenberg inequality proved by Del Pino and Dolbeault 2003 and the optimal inequalities proved by Cordero-Erausquin et al. 2004.
publishDate 2005
dc.date.none.fl_str_mv 2005-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000400001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000400001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652005000400001
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.77 n.4 2005
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
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instname_str Academia Brasileira de Ciências (ABC)
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reponame_str Anais da Academia Brasileira de Ciências (Online)
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repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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