Problemy Analiza — Issues of Analysis
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Probl. Anal. Issues Anal.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Problemy Analiza — Issues of Analysis, 2019, Volume 8(26), Issue 3, Pages 147–151
DOI: https://doi.org/10.15393/j3.art.2019.6670 (Mi pa280) 		 
On the compactness of one class of quasiconformal mappings

E. A. Shcherbakov, I. A. Avdeyev

Kuban State University, 149 Stavropolskaya str., Krasnodar 350040, Russia
Full-text PDF (353 kB)
References:
PDF
HTML
DOI: https://doi.org/10.15393/j3.art.2019.6670
Abstract: 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.
Keywords: quasi-conformal mappings, sobolev spaces, elliptic systems, embedding theorems, topological mappings, Dirichlet integral, Douglas integral, harmonic functions.
Received: 09.07.2019
Revised: 30.10.2019
Accepted: 29.10.2019
Bibliographic databases:
Document Type: Article
UDC: 517.3
MSC: 30C70, 30C75
Language: English
Citation: E. A. Shcherbakov, I. A. Avdeyev, “On the compactness of one class of quasiconformal mappings”, Probl. Anal. Issues Anal., 8(26):3 (2019), 147–151
Citation in format AMSBIB
\Bibitem{ShcAvd19}
\by E.~A.~Shcherbakov, I.~A.~Avdeyev
\paper On the compactness of one class of quasiconformal mappings
\jour Probl. Anal. Issues Anal.
\yr 2019
\vol 8(26)
\issue 3
\pages 147--151
\mathnet{http://mi.mathnet.ru/pa280}
\crossref{https://doi.org/10.15393/j3.art.2019.6670}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000497499600014}
\elib{https://elibrary.ru/item.asp?id=41470788}
Linking options:
  • https://www.mathnet.ru/eng/pa280
  • https://www.mathnet.ru/eng/pa/v26/i3/p147
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Problemy Analiza — Issues of Analysis
    Statistics & downloads:
    Abstract page:145
    Full-text PDF :54
    References:17
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024