Matematicheskie Trudy
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



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






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


Matematicheskie Trudy, 2015, Volume 18, Number 1, Pages 98–117
DOI: https://doi.org/10.17377/mattrudy.2015.18.105
(Mi mt287)
 

On the lower order of mappings with finite length distortion

E. A. Sevostyanov

I. Franko Zhitomir State University, Zhitomir, Ukraine
References:
Abstract: We study the problem of the so-called lower order for one kind of mappings with finite distortion, actively investigated in the recent 15–20 years. We prove that mappings with finite length distortion $f:D\rightarrow \mathbb{R}^n$, $n\ge 2$, whose outer dilatation is integrable to the power $\alpha>n-1$ with finite asymptotic limit have lower order bounded from below.
Key words: mappings with bounded and finite distortion, growth of a mapping at infinity, open discrete mapping, capacity of a condenser.
Received: 18.05.2014
English version:
Siberian Advances in Mathematics, 2016, Volume 26, Issue 2, Pages 126–138
DOI: https://doi.org/10.3103/S1055134416020048
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: E. A. Sevostyanov, “On the lower order of mappings with finite length distortion”, Mat. Tr., 18:1 (2015), 98–117; Siberian Adv. Math., 26:2 (2016), 126–138
Citation in format AMSBIB
\Bibitem{Sev15}
\by E.~A.~Sevostyanov
\paper On the lower order of mappings with finite length distortion
\jour Mat. Tr.
\yr 2015
\vol 18
\issue 1
\pages 98--117
\mathnet{http://mi.mathnet.ru/mt287}
\crossref{https://doi.org/10.17377/mattrudy.2015.18.105}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3408636}
\elib{https://elibrary.ru/item.asp?id=23419035}
\transl
\jour Siberian Adv. Math.
\yr 2016
\vol 26
\issue 2
\pages 126--138
\crossref{https://doi.org/10.3103/S1055134416020048}
Linking options:
  • https://www.mathnet.ru/eng/mt287
  • https://www.mathnet.ru/eng/mt/v18/i1/p98
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические труды Siberian Advances in Mathematics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024