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.

引用

页码：170 / 178

页数：9

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