INVESTIGADORES
SILVA Analia Concepcion
artículos
Título:
A mass transportation approach for Sobolev inequality
Autor/es:
JUAN PABLO BORTHAGARAY; JULIÁN FERNÁNDEZ BONDER; ANALÍA SILVA
Revista:
MANUSCRIPTA MATHEMATICA
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2016
ISSN:
0025-2611
Resumen:
In this paper we provide a proof of the Sobolev-Poincar´e inequality for variableexponent spaces by means of mass transportation methods, in the spirit of [4]. The importanceof this approach is that the method is flexible enough to deal with different inequalities. As anapplication, we also deduce the Sobolev-trace inequality improving the result of [11] by obtainingan explicit dependence of the exponent in the constant.
