ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS

ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS

We consider an elliptic system in the disk |z| < 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 d...

Full description

Bibliographic Details
Main Authors: E. A. Shcherbakov, I. A. Avdeyev
Format: Article
Language:English
Published: Petrozavodsk State University 2019-10-01
Series:Проблемы анализа
Subjects:
quasi-conformal mappings
sobolev spaces
elliptic systems
embedding theorems
topological mappings
dirichlet integral
douglas integral
harmonic functions
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=6670&lang=en
Description
Summary:We consider an elliptic system in the disk |z| < 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.
ISSN:2306-3424
2306-3432

Similar Items