双特征Beltrami方程组与有限伸张映射  

Beltrami System with Double Characteristic Matrices and Mappings with Finite Distortion

作　　者：高红亚[1] 王芳[1] 安敏[2] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002 [2]河北理工大学理学院,河北唐山063009

出　　处：《河北大学学报（自然科学版）》2007年第2期113-114,117,共3页Journal of Hebei University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10471149);河北省教育厅博士基金资助项目(B2004103)

摘　　要：在Rn中的有界区域Ω中,考虑双特征Beltrami方程组.证明了双特征Beltrami方程组的广义解是有限伸张映射,并使能量泛函达到极小.The Beltrami system with double characteristic matrices in high dimensional domain Ω of R^n was considered in this paper. It is proved that the generalized solutoins of Beltrami system with double characteristic matrices are mappings with finite distortion,and attains its minimal value for the energy functonal.

关 键 词：双特征 BELTRAMI方程组 有限伸张映射 能量泛函 

分 类 号：O174.45[理学—数学] O175.23[理学—基础数学]