Gradient estimates in Orlicz space for nonlinear elliptic equations

被引：74

作者：

Byun, Sun-Sig ^{[2
]}

Yao, Fengping ^{[1
]}

Zhou, Shulin ^{[3
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

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

[3] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2008年 / 255卷 / 08期

关键词：

Elliptic PDE of p-Laplacian type; Reifenberg flat domain; BMO space; Orlicz space;

D O I：

10.1016/j.jfa.2008.09.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we generalize gradient estimates in L-p space to Orlicz space for weak solutions of elliptic equations of p-Laplacian type with small BMO coefficients in delta-Reifenberg flat domains. Our results improve the known results for such equations using a harmonic analysis-free technique. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1851 / 1873

页数：23

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