Regularity estimates for nonlinear elliptic measure data problems with nonstandard growth

被引：4
|
作者：
Byun, Sun-Sig [1 ,2 ]
Liang, Shuang [3 ]
Youn, Yeonghun [1 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea
[3] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 182卷
关键词：
Measure data; Calderon-Zygmund estimate; Nonstandard growth; REIFENBERG FLAT DOMAINS; VARIABLE EXPONENT; PARABOLIC EQUATIONS; ZYGMUND THEORY; FUNCTIONALS; SPACES;
D O I：
10.1016/j.na.2019.01.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a global Calderon-Zygmund type estimate for the gradient of a solution to a nonlinear elliptic problem with nonstandard growth when the right-hand side is a bounded Radon measure. Minimal regularity requirements on both the nonlinearity and the boundary of the domain are investigated for such a gradient estimate. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：303 / 315
页数：13
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