Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 5, Pages 820–840
DOI: https://doi.org/10.33048/smzh.2024.65.505 (Mi smj7894) 		 
The geometric function properties of the limits of ACL-mappings with integrable distortion

S. K. Vodopyanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (379 kB) First page
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2024.65.505
Abstract: Studying the geometric function properties of the limits of ACL-mappings with integrable distortion on domains in Carnot groups, we obtain the conditions for the limits of sequences of these mappings to belong to the class ACL. Moreover, such limits have finite distortion and enjoy Luzin's $\mathcal N^{-1}$-property.
Keywords: ACL-mapping, Sobolev mapping, Carnot group, mapping of finite distortion, external distortion operator function, limits of ACL-mappings, Luzin's $\mathcal N^{-1}$-property.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0006
Received: 16.06.2024
Revised: 16.06.2024
Accepted: 20.08.2024
Document Type: Article
UDC: 517.518+517.54
MSC: 35R30
Language: Russian
Citation: S. K. Vodopyanov, “The geometric function properties of the limits of ACL-mappings with integrable distortion”, Sibirsk. Mat. Zh., 65:5 (2024), 820–840
Citation in format AMSBIB
\Bibitem{Vod24}
\by S.~K.~Vodopyanov
\paper The geometric function properties of the limits of ACL-mappings with integrable distortion
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 5
\pages 820--840
\mathnet{http://mi.mathnet.ru/smj7894}
\crossref{https://doi.org/10.33048/smzh.2024.65.505}
Linking options:
  • https://www.mathnet.ru/eng/smj7894
  • https://www.mathnet.ru/eng/smj/v65/i5/p820
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:29
    Full-text PDF :1
    References:7
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024