Calderon-Zygmund estimates for a class of quasilinear elliptic equations

被引：24
|
作者：
Yao, Fengping [1 ]
Zhou, Shulin [2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 272卷 / 04期
关键词：
Calderfin-Zygmund; Gradient; Elliptic; Quasilinear; REIFENBERG DOMAINS; BMO COEFFICIENTS; GRADIENT; REGULARITY; SYSTEMS;
D O I：
10.1016/j.jfa.2016.11.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we obtain the following local Calderon-Zygmund estimates B(|f|) epsilon L-loc(q)(Omega)B(|del(u)|) epsilon L-loc(q)(O)for any q >= 1 of weak solutions for a class of quasilinear elliptic equations div (a(|del u|)del u)=div(a(|f|)f)in Omega, where B(t)=integral(t)(0) tau a(tau) d tau for t >= 0 (C) 2016 Elsevier Inc. All rights reserved.
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页码：1524 / 1552
页数：29
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