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.
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页码：147 / 151
页数：5
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