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Estimates in Morrey Spaces and Holder Continuity for Weak Solutions to Degenerate Elliptic Systems

被引：13
|
作者：
Dong, Yan [1 ]
Niu, Pengcheng [1 ]
机构：
[1] Northwestern Polytech Univ, Minist Educ, Key Lab Space Appl Phys & Chem, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China
来源：
MANUSCRIPTA MATHEMATICA | 2012年 / 138卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
EQUATIONS; OPERATORS; BOUNDARY;
D O I：
10.1007/s00229-011-0498-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish gradient estimates in Morrey spaces and Holder continuity for weak solutions of the following degenerate elliptic system -X-alpha*(a(ij)(alpha beta) (x)X(beta)u(j)) = g(i) - X-alpha*f(i)(alpha) (x), where X-1, . . . X-q, are real smooth vector fields satisfying Hormander's condition, coefficients a(ij)(alpha beta) epsilon V M O-X boolean AND L-infinity (Omega), alpha, beta = 1, 2, ... , q, i, j = 1, 2, ... , N, X-alpha* is the transposed vector field of X-alpha.
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页码：419 / 437
页数：19
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