Nonlocal characterizations of variable exponent Sobolev spaces

Gianluca Ferrari; Marco Squassina

doi:10.3233/ASY-211675

Nonlocal characterizations of variable exponent Sobolev spaces

Gianluca Ferrari, Marco Squassina^*

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo

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.

Lingua originale	Inglese
pagine (da-a)	121-142
Numero di pagine	22
Rivista	Asymptotic Analysis
Volume	127
DOI	https://doi.org/10.3233/ASY-211675
Stato di pubblicazione	Pubblicato - 2022

Keywords

Anisotropic Sobolev spaces
nonlocal characterizations
singular limit formulas

Accesso al documento

10.3233/ASY-211675

Altri file e collegamenti

Link a IRIS PubliCatt

Cita questo

@article{1c2850b7a4e7437f9634146482ec76fe,

title = "Nonlocal characterizations of variable exponent Sobolev spaces",

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.",

keywords = "Anisotropic Sobolev spaces, nonlocal characterizations, singular limit formulas, Anisotropic Sobolev spaces, nonlocal characterizations, singular limit formulas",

author = "Gianluca Ferrari and Marco Squassina",

year = "2022",

doi = "10.3233/ASY-211675",

language = "English",

volume = "127",

pages = "121--142",

journal = "Asymptotic Analysis",

issn = "0921-7134",

publisher = "SAGE Publications Ltd",

}

TY - JOUR

T1 - Nonlocal characterizations of variable exponent Sobolev spaces

AU - Ferrari, Gianluca

AU - Squassina, Marco

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Anisotropic Sobolev spaces

KW - nonlocal characterizations

KW - singular limit formulas

KW - Anisotropic Sobolev spaces

KW - nonlocal characterizations

KW - singular limit formulas

UR - http://hdl.handle.net/10807/203969

U2 - 10.3233/ASY-211675

DO - 10.3233/ASY-211675

M3 - Article

SN - 0921-7134

VL - 127

SP - 121

EP - 142

JO - Asymptotic Analysis

JF - Asymptotic Analysis

ER -

Nonlocal characterizations of variable exponent Sobolev spaces

Abstract

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo