BELTRAMI SYSTEM WITH TWO CHARACTERISTIC MATRICES AND VARIABLE COEFFICIENTS

被引：0
|
作者：
Gao, Hong-Ya [1 ]
Zheng, Shen-Zhou [2 ]
Yue, Ying-Qiang [3 ]
机构：
[1] Hebei Univ, Coll Math & Comp Sci, Baoding 071002, Peoples R China
[2] Beijing Jiaotong Univ, Coll Sci, Beijing 100044, Peoples R China
[3] Hebei Normal Coll Nationalities, Dept Math & Comp, Chengde 067000, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS AND RELATED PROBLEMS | 2011年
关键词：
Beltrami system; elliptic equation of divergence type; energy functional; regularity; div-curl field; QUASI-REGULAR MAPPINGS;
D O I：
10.1142/9789814327862_0016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the Beltrami system with two characteristic matrices and variable coefficients D(t)f(x)H(x)Df(x) = J(x, f)(2/n) G(x), where the matrices H(x), G(x) is an element of S(n) satisfy some conditions. A homogeneous elliptic equation of divergence type DivA(x, Df(x)) = 0 is derived from the Beltrami system by using the energy and variational methods. A regularity property is obtained by using the Div-Curl fields.
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页码：170 / 178
页数：9
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