Nonlocal characterizations of variable exponent Sobolev spaces
Analysis of PDEs
2020-12-02 v1 Functional Analysis
Abstract
We obtain some nonlocal characterizations for a class of variable exponent Sobolev spaces arising in nonlinear elasticity theory and in the theory of electrorheological fluids. We also get a singular limit formula extending Nguyen results to the anisotropic case.
Keywords
Cite
@article{arxiv.2012.00389,
title = {Nonlocal characterizations of variable exponent Sobolev spaces},
author = {Gianluca Ferrari and Marco Squassina},
journal= {arXiv preprint arXiv:2012.00389},
year = {2020}
}
Comments
18 pages