Global regularity estimates for non-divergence elliptic equations on weighted variable Lebesgue spaces

被引：12

作者：

The Quan Bui ^{[1
,2
]}

The Anh Bui ^{[3
]}

Xuan Thinh Duong ^{[3
]}

机构：

[1] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam

[2] Dong Nai Univ, Dept Math, 4 Le Quy Don, Bien Hoa, Dong Nai, Vietnam

[3] Macquarie Univ, Dept Math Stat, Macquarie Pk, NSW 2109, Australia

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2021年 / 23卷 / 05期

基金：

澳大利亚研究理事会;

关键词：

Non-divergence elliptic equation; weighted variable exponent Lebesgue space; bounded mean oscillation (BMO) space; NONDIVERGENCE FORM; INEQUALITIES; POINTWISE;

D O I：

10.1142/S0219199720500145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Y This paper is to prove global regularity estimates for solutions to the second-order elliptic equation in non-divergence form with BMO coefficients in a C-1,C-1 domain on weighted variable exponent Lebesgue spaces. Our approach is based on the representations for the solutions to the non-divergence elliptic equations and the domination technique by sparse operators in harmonic analysis.

引用

页数：26

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