Nonlocal approximations to anisotropic Sobolev norms
Ivan Cinelli, Gianluca Ferrari, Marco Squassina · Asymptotic Analysis · 2021
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 [Formula: see text] reaches the value 1.