Nonlocal approximations to anisotropic Sobolev norms
Analysis of PDEs
2021-10-27 v1 Functional Analysis
Abstract
We obtain some nonlocal characterizations for a class of variable exponent Sobolev spaces arising in nonlinear elasticity, in the theory of electrorheological fluids as well as in image processing for the regions where the variable exponent reaches the value .
Keywords
Cite
@article{arxiv.2110.13662,
title = {Nonlocal approximations to anisotropic Sobolev norms},
author = {Ivan Cinelli and Gianluca Ferrari and Marco Squassina},
journal= {arXiv preprint arXiv:2110.13662},
year = {2021}
}
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15 pages