A mass transportation approach for Sobolev inequalities in variable exponent spaces

被引：0
|
作者：
Juan Pablo Borthagaray
Julián Fernández Bonder
Analía Silva
机构：
[1] FCEyN - Universidad de Buenos Aires,IMAS
[2] Ciudad Universitaria, CONICET and Departamento de Matemática
[3] Universidad Nacional de San Luis,IMASL
来源：
manuscripta mathematica | 2016年 / 151卷
关键词：
46E35; 49J40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 Cordero-Erausquin et al. (Adv Math 182(2):307–332, 2004). 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 Fan (J Math Anal Appl 339(2):1395–1412, 2008) by obtaining an explicit dependence of the exponent in the constant.
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页码：133 / 146
页数：13
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