(G,H)-拟正则映照和B-调和方程  

(G, H)-Quasiregular Mappings and B-Harmonic Equations

作　　者：程金发[1] 方爱农[2] 

机构地区：[1]厦门大学数学系,厦门361005 [2]上海交通大学应用数学系,上海200030

出　　处：《数学学报（中文版）》1999年第5期883-888,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金;数学天元基金

摘　　要：本文将双特征拟正则映照化为变化问题，得到其Euler-Lasranse方程，利用它得到B-调和方程的先验估计、拟正则映照的Caccippoli型不等式、正则性和可去性结果．In this paper, quasiregular mappings with double dilations was transformed into variational problems, its Euler-Lagrange equation was obtained, by using the equation, integral estimates for B-harmonic equation, Caccippoli inequality regularity and removability theorems for quasiregular mappings were established.

关 键 词：拟正则映照 BELTRAMI方程组 B-调和方程 

分 类 号：O174.55[理学—数学]