A mass transportation approach for Sobolev inequalities in variable exponent spaces
arXiv:1503.02943
Abstract
In this paper we provide a proof of the Sobolev-Poincaré inequality for variable exponent spaces by means of mass transportation methods. The importance of this approach is that the method is exible enough to deal with different inequalities. As an application, we also deduce the Sobolev-trace inequality improving the result obtained by Fan.
12 pages