Pointwise symmetrization inequalities for Sobolev functions and applications

We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations.

Detalles Bibliográficos
Autores: Martín i Pedret, Joaquim|||0000-0002-7467-787X, Milman, Mario|||0000-0003-3735-8009
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:270409
Acceso en línea:https://ddd.uab.cat/record/270409
https://dx.doi.org/urn:doi:10.1016/j.aim.2010.02.022
Access Level:acceso abierto
Palabra clave:Concentration
Isoperimetric inequalities
Logarithmic Sobolev inequalities
Poincaré
Symmetrization
Descripción
Sumario:We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations.