Nonlocal approximations to anisotropic Sobolev norms-Reference-Cited by-同舟云学术

Nonlocal approximations to anisotropic Sobolev norms

Published:2021-12-10 Issue: Volume: Page:1-20
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Cinelli Ivan¹,Ferrari Gianluca¹,Squassina Marco¹

Affiliation:

1. Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via della Garzetta 48, Brescia, Italy. E-mails: ivan.cinelli01@icatt.it, 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, 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.

Publisher

IOS Press

Subject

General Mathematics

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