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arXiv · 2110.13662

Nonlocal approximations to anisotropic Sobolev norms

Ivan Cinelli·Gianluca Ferrari·Marco Squassina
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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 $p(x)$ reaches the value $1$.

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Ivan Cinelli, Gianluca Ferrari, Marco Squassina. 2021-10-26. Nonlocal approximations to anisotropic Sobolev norms. https://arxiv.org/abs/2110.13662

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