ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS

被引：1

作者：

Shcherbakov, E. A. ^{[1
]}

Avdeyev, I. A. ^{[1
]}

机构：

[1] Kuban State Univ, 149 Stavropolskaya Str, Krasnodar 350040, Russia

来源：

PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2019年 / 8卷 / 03期

关键词：

quasi-conformal mappings; sobolev spaces; elliptic systems; embedding theorems; topological mappings; Dirichlet integral; Douglas integral; harmonic functions;

D O I：

10.15393/j3.art.2019.6670

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider an elliptic system in the disk vertical bar z vertical bar < 1 for the so-called p-analytic functions. This system admits degeneration at the boundary of the disk. We prove compactness of the family of K-quasiconformal mappings, which are the solutions of the uniformly elliptic systems approximating the degenerating one.

引用

页码：147 / 151

页数：5

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