Green matrices and continuity of the weak solutions for the elliptic systems with lower order terms

被引：2
|
作者：
Zhuge, Jinping [1 ]
Zhang, Zhenqiu [2 ,3 ]
机构：
[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA
[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2016年 / 27卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Elliptic systems; Kato-Stummel class; Green matrices; continuity; Holder continuity; Schauder estimate; HARNACK INEQUALITY; EQUATIONS;
D O I：
10.1142/S0129167X16500105
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the second-order elliptic systems with lower order terms coefficients belonging to Kato-Stummel type classes in a bounded domain Omega subset of R-n, where n >= 3. We establish the existence, global pointwise estimates and L-p estimates for Green matrices. Based on these estimates, we are able to show the continuity of weak solutions for the general elliptic systems by using method of potentials. We also obtain the optimal Schauder estimates for weak solutions.
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页数：34
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