Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2016, Volume 207, Issue 4, Pages 537–580
DOI: https://doi.org/10.1070/SM8493 (Mi sm8493) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Open discrete mappings with unbounded coefficient of quasi-conformality on Riemannian manifolds

D. P. Il'yutkoa, E. A. Sevost'yanovb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Zhytomyr Ivan Franko State University, Ukraine
English version PDF (795 kB) Citations (21)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM8493
Abstract: The paper is concerned with problems at the intersection of the theory of spatial quasi-conformal mappings and the theory of Riemann surfaces. Theorems on the local behaviour of one class of open discrete mappings with unbounded coefficient of quasi-conformality, which map between arbitrary Riemannian manifolds, are obtained. Such mappings are also shown to extend to isolated points of the boundary of the domain. Some results on the local behaviour of Sobolev and Orlicz-Sobolev classes are obtained as an application.
Bibliography: 52 titles.
Keywords: Riemannian manifold, modulus of families of paths and surfaces, mapping of bounded or finite distortion, local and global behaviour of mappings, Orlicz-Sobolev class.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00664
16-01-00378
Ministry of Education and Science of the Russian Federation НШ-581.2014.1
The research of the first-named author was carried out with the support of the Russian Foundation for Basic Research (grant nos. 13-01-00664 and 16-01-00378) and the Programme of the President of the Russian Federation of Support of Leading Scientific Schools (grant no. НШ-581.2014.1).
Received: 21.02.2015 and 16.07.2015
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 4, Pages 65–112
DOI: https://doi.org/10.4213/sm8493
Bibliographic databases:
Document Type: Article
UDC: 517.548.2+514.764.2
MSC: Primary 30C65, 30L10, 58C06; Secondary 31C12, 31C15, 31B15, 30D45
Language: English
Original paper language: Russian
Citation: D. P. Il'yutko, E. A. Sevost'yanov, “Open discrete mappings with unbounded coefficient of quasi-conformality on Riemannian manifolds”, Mat. Sb., 207:4 (2016), 65–112; Sb. Math., 207:4 (2016), 537–580
Citation in format AMSBIB
\Bibitem{IlySev16}
\by D.~P.~Il'yutko, E.~A.~Sevost'yanov
\paper Open discrete mappings with unbounded coefficient of quasi-conformality on Riemannian manifolds
\jour Mat. Sb.
\yr 2016
\vol 207
\issue 4
\pages 65--112
\mathnet{http://mi.mathnet.ru/sm8493}
\crossref{https://doi.org/10.4213/sm8493}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3507492}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016SbMat.207..537I}
\elib{https://elibrary.ru/item.asp?id=25707826}
\transl
\jour Sb. Math.
\yr 2016
\vol 207
\issue 4
\pages 537--580
\crossref{https://doi.org/10.1070/SM8493}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000378483100004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84976416768}
Linking options:
  • https://www.mathnet.ru/eng/sm8493
  • https://doi.org/10.1070/SM8493
  • https://www.mathnet.ru/eng/sm/v207/i4/p65
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:579
    Russian version PDF:148
    English version PDF:26
    References:91
    First page:38
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024