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arXiv · 2012.00389

Nonlocal characterizations of variable exponent Sobolev spaces

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 theory and in the theory of electrorheological fluids. We also get a singular limit formula extending Nguyen results to the anisotropic case.

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Gianluca Ferrari, Marco Squassina. 2020-12-01. Nonlocal characterizations of variable exponent Sobolev spaces. https://arxiv.org/abs/2012.00389

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