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.
Ivan, C., Gianluca, F., Squassina, M., Nonlocal approximations to anisotropic Sobolev norms, <<ASYMPTOTIC ANALYSIS>>, N/A; (N/A): 1-15 [http://hdl.handle.net/10807/203975]
Nonlocal approximations to anisotropic Sobolev norms
Squassina, Marco
Membro del Collaboration Group
2022
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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