Riemann mapping theorems for Beltrami equations by circle packings

被引：5

作者：

Lan, SY ^{[1
]}

Dai, DQ

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] Guangxi Univ Nationalities, Dept Math, Nanning 530006, Peoples R China

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2004年 / 217卷 / 01期

关键词：

D O I：

10.2140/pjm.2004.217.139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use circle packing techniques to construct approximate solutions to the generalized Beltrami equations with simply and multiply connected regions in the plane. We show convergence of the approximate solutions. This gives a constructive proof for the existence of quasiconformal mappings with a given pair of complex dilations.

引用

页码：139 / 147

页数：9

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