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.

Detalles Bibliográficos
Autores: Martín i Pedret, Joaquim|||0000-0002-7467-787X, Milman, Mario|||0000-0003-3735-8009
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:271413
Acceso en línea:https://ddd.uab.cat/record/271413
https://dx.doi.org/urn:doi:10.1007/s11118-008-9102-8
Access Level:acceso abierto
Palabra clave:Self-improving
Sobolev-Poincaré inequalities
Symmetrization
Truncation
Descripción
Sumario: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.