W2,p(.) -regularity for elliptic equations in nondivergence form with BMO coefficients

被引：0

作者：

Byun, Sun-Sig ^{[1
,2
]}

Lee, Mikyoung ^{[1
]}

Ok, Jihoon ^{[3
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea

[3] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

来源：

MATHEMATISCHE ANNALEN | 2015年 / 363卷 / 3-4期

基金：

新加坡国家研究基金会;

关键词：

FINITE-ELEMENT APPROXIMATION; VARIABLE EXPONENT; FUNCTIONALS; OPERATORS; STOKES; VMO;

D O I：

10.1007/s00208-015-1194-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish an optimal -estimate to the Dirichlet problem for an elliptic equation in nondivergence form with discontinuous coefficients on a bounded domain for every variable exponent with log-Holder continuity. The matrix of the coefficients is assumed to have a small BMO semi-norm, depending on the exponent, the boundary of the domain, and the matrix itself.

引用

页码：1023 / 1052

页数：30

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