Nonlocal approximations to anisotropic Sobolev norms

Ivan Cinelli; Gianluca Ferrari; Marco Squassina

doi:10.3233/ASY-211749

Nonlocal approximations to anisotropic Sobolev norms

Ivan Cinelli
, Gianluca Ferrari
, Marco Squassina

Research output: Contribution to journal › Article

Abstract

We obtain some nonlocal characterizations for a class of variable exponent Sobolev\r\nspaces arising in nonlinear elasticity, in the theory of electrorheological fluids as well as in image\r\nprocessing for the regions where the variable exponent p(x) reaches the value 1.

Original language	English
Pages (from-to)	213-232
Number of pages	15
Journal	Asymptotic Analysis
Volume	130
Issue number	1-2
DOIs	https://doi.org/10.3233/ASY-211749
Publication status	Published - 2022

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Nonlocal
Sobolev norms
anisotropic
approximations

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10.3233/ASY-211749

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title = "Nonlocal approximations to anisotropic Sobolev norms",

abstract = "We obtain some nonlocal characterizations for a class of variable exponent Sobolev\textbackslash{}r\textbackslash{}nspaces arising in nonlinear elasticity, in the theory of electrorheological fluids as well as in image\textbackslash{}r\textbackslash{}nprocessing for the regions where the variable exponent p(x) reaches the value 1.",

keywords = "Nonlocal, Sobolev norms, anisotropic, approximations, Nonlocal, Sobolev norms, anisotropic, approximations",

author = "Ivan Cinelli and Gianluca Ferrari and Marco Squassina",

year = "2022",

doi = "10.3233/ASY-211749",

language = "English",

volume = "130",

pages = "213--232",

journal = "Asymptotic Analysis",

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AU - Cinelli, Ivan

AU - Ferrari, Gianluca

AU - Squassina, Marco

PY - 2022

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AB - We obtain some nonlocal characterizations for a class of variable exponent Sobolev\r\nspaces arising in nonlinear elasticity, in the theory of electrorheological fluids as well as in image\r\nprocessing for the regions where the variable exponent p(x) reaches the value 1.

KW - Nonlocal

KW - Sobolev norms

KW - anisotropic

KW - approximations

KW - Nonlocal

KW - Sobolev norms

KW - anisotropic

KW - approximations

UR - https://publicatt.unicatt.it/handle/10807/203975

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JO - Asymptotic Analysis

JF - Asymptotic Analysis

IS - 1-2

ER -

Nonlocal approximations to anisotropic Sobolev norms

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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