Nonlocal characterizations of variable exponent Sobolev spaces-Reference-Cited by-同舟云学术

Nonlocal characterizations of variable exponent Sobolev spaces

Published:2021-11-30 Issue:1-2 Volume:127 Page:121-142
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Ferrari Gianluca¹,Squassina Marco¹

Affiliation:

1. Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via dei Musei 41, Brescia, Italy. E-mails: gianluca.ferrari03@icatt.it, marco.squassina@unicatt.it

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.

Publisher

IOS Press

Subject

General Mathematics

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