A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces
Analysis of PDEs
2013-10-23 v2
Abstract
In this paper, we study the critical Sobolev embeddings for variable exponent Sobolev spaces from the point of view of the -convergence. More precisely we determine the -limit of subcritical approximation of the best constant associated with this embedding. As an application we provide a sufficient condition for the existence of extremals for the best constant.
Cite
@article{arxiv.1310.4800,
title = {A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces},
author = {Julián Fernández Bonder and Nicolas Saintier and Analia Silva},
journal= {arXiv preprint arXiv:1310.4800},
year = {2013}
}