Artículo

A mass transportation approach for Sobolev inequalities in variable exponent spaces

Borthagaray Peradotto, Juan PabloIcon ; Fernandez Bonder, JulianIcon ; Silva, AnaliaIcon
Fecha de publicación: 09/2016
Editorial: Springer
Revista: Manuscripta Mathematica
ISSN: 0025-2611
e-ISSN: 1432-1785
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

In this paper we provide a proof of the Sobolev-Poincar´e 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.
Palabras clave: Sobolev Inequalities , Variable Exponents , Mass Transportation
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/18957
DOI: http://dx.doi.org/10.1007/s00229-016-0830-6
URL: https://link.springer.com/article/10.1007/s00229-016-0830-6
URL: https://arxiv.org/abs/1503.02943
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Borthagaray Peradotto, Juan Pablo; Fernandez Bonder, Julian; Silva, Analia; A mass transportation approach for Sobolev inequalities in variable exponent spaces; Springer; Manuscripta Mathematica; 151; 1-2; 9-2016; 133-146
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