Self improving Sobolev-Poincaré inequalities, truncation and symmetrization

In Martín et al. (J Funct Anal 252:677-695, 2007) we developed a new method to obtain symmetrization inequalities of Sobolev type for functions in W01,1(Ω). In this paper we extend our method to Sobolev functions that do not vanish at the boundary.

Detalhes bibliográficos
Autores: Martín i Pedret, Joaquim|||0000-0002-7467-787X, Milman, Mario|||0000-0003-3735-8009
Tipo de documento: artigo
Data de publicação:2008
País:España
Recursos:Universitat Autònoma de Barcelona
Repositório:Dipòsit Digital de Documents de la UAB
Idioma:inglês
OAI Identifier:oai:ddd.uab.cat:271413
Acesso em linha:https://ddd.uab.cat/record/271413
https://dx.doi.org/urn:doi:10.1007/s11118-008-9102-8
Access Level:Acceso aberto
Palavra-chave:Self-improving
Sobolev-Poincaré inequalities
Symmetrization
Truncation
Descrição
Resumo:In Martín et al. (J Funct Anal 252:677-695, 2007) we developed a new method to obtain symmetrization inequalities of Sobolev type for functions in W01,1(Ω). In this paper we extend our method to Sobolev functions that do not vanish at the boundary.