Nonlocal characterizations of variable exponent Sobolev spaces

被引：0
|
作者：
Ferrari, Gianluca [1 ]
Squassina, Marco [1 ,2 ]
机构：
[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Musei 41, Brescia, Italy
[2] Ist Nazl Alta Matemat INdAM, Grp Nazl Anal Matemat Probabilita & Loro Applicaz, Rome, Italy
来源：
ASYMPTOTIC ANALYSIS | 2022年 / 127卷 / 1-2期
关键词：
Anisotropic Sobolev spaces; singular limit formulas; nonlocal characterizations;
D O I：
10.3233/ASY-211675
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：121 / 142
页数：22
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