IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
A mass transportation approach for Sobolev inequalities in variable exponent spaces
Autor/es:
JULIAN FERNANDEZ BONDER; BORTHAGARAY, JUAN PABLO; ANALIA 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 - Poincaré inequality for variable exponent spaces by means of mass transportation methods, in the spirit of [4]. The importance of this approach is that the method is flexible enough to deal with different inequalities. As an application, we also deduce the Sobolev - trace inequality improving the result of [11] by obtaining an explicit dependence of the exponent in the constant.
