Gradient estimates for solutions of elliptic systems with measurable coefficients from composite material

被引：3
|
作者：
Jang, Yunsoo [1 ]
Kim, Youchan [2 ]
机构：
[1] Yonsei Univ, CMAC, Seoul 03722, South Korea
[2] Univ Seoul, Dept Math, Seoul, South Korea
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 16期
基金：
新加坡国家研究基金会;
关键词：
composite material; elliptic systems; gradient estimates; measurable coefficients; Reifenberg flat domains; REGULARITY RESULT; SHARP REGULARITY; BMO COEFFICIENTS; DIVERGENCE FORM; EQUATIONS;
D O I：
10.1002/mma.5213
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study global gradient estimates for the weak solution to elliptic systems with measurable coefficients from composite materials in a nonsmooth bounded domain. The principal coefficients are assumed to be merely measurable in one variable and have small bounded mean oscillation (BMO) seminorms in the other variables on each subdomain whose boundary satisfies the so-called -Reifenberg flat condition. Under these assumptions and based on our new geometric observation for disjoint Reifenberg domains in a previous study, we obtain global W-1,W-p estimates.
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页码：7007 / 7031
页数：25
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