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.
Ferrari, G., Squassina, M., Nonlocal characterizations of variable exponent Sobolev spaces, <<ASYMPTOTIC ANALYSIS>>, N/A; 127 (1-2): 121-142. [doi:10.3233/ASY-211675] [http://hdl.handle.net/10807/203969]
Nonlocal characterizations of variable exponent Sobolev spaces
Squassina, Marco
Secondo
2022
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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