GLOBAL GRADIENT ESTIMATES FOR A GENERAL CLASS OF QUASILINEAR ELLIPTIC EQUATIONS WITH ORLICZ GROWTH

被引：8
作者：
Baasandorj, Sumiya [1 ]
Byun, Sun-Sig [1 ,2 ]
Lee, Ho-Sik [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
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 10期
关键词：
BMO space; Calderon-Zygmund estimate; non-standard growth; Orlicz space; Reifenberg flat domain; LIPSCHITZ REGULARITY; ZYGMUND THEORY; MINIMIZERS; SYSTEMS; FUNCTIONALS;
D O I：
10.1090/proc/15585
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide an optimal global Calderon-Zygmund theory for quasi-linear elliptic equations of a very general form with Orlicz growth on bounded nonsmooth domains under minimal regularity assumptions of the nonlinearity A = A(x, u, Du) in the first and second variables (x, z) as well as on the boundary of the domain. Our result improves known regularity results in the literature regarding nonlinear elliptic operators depending on a given bounded weak solution.
引用
收藏
页码：4189 / 4206
页数：18
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