Global Calderon-Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations

被引：28

作者：

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

Oh, Jehan ^{[3
]}

Wang, Lihe ^{[4
,5
]}

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

[4] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[5] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 17期

基金：

新加坡国家研究基金会;

关键词：

BMO COEFFICIENTS; GRADIENT; CALCULUS;

D O I：

10.1093/imrn/rnu203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider nonhomogeneous elliptic and parabolic problems involving a discontinuous nonlinearity and an asymptotic regularity over an irregular domain in divergence form of p-Laplacian type, to establish the global Calderon-Zygmund estimate by converting a given asymptotically regular problem to a suitable regular problem.

引用

页码：8289 / 8308

页数：20

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