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Problemy Analiza — Issues of Analysis, 2018, Volume 7(25), special issue, Pages 88–100
DOI: https://doi.org/10.15393/j3.art.2018.5511 (Mi pa242) 		 
On the convergence of mappings with $k$-finite distortion

N. A. Kudryavtsevaa, S. K. Vodopyanovb

a Novosibirsk State University, 1 Pirogova str., Novosibirsk 630090, Russia
b Sobolev Institute of Mathematics, 4 Akademika Koptyuga pr., Novosibirsk 630090, Russia
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DOI: https://doi.org/10.15393/j3.art.2018.5511
Abstract: We prove that a locally uniform limit of a sequence of homeomorphisms with finite $k$-distortion is also a mapping with finite $k$-distortion. We obtain also an estimation for the distortion coefficient of the limit mapping.
Keywords: mapping with $k$-finite distortion, distortion coefficient, passing to the limit, differential form.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00875_а
Russian Academy of Sciences - Federal Agency for Scientific Organizations I.1.2., project 0314-2016-0006
This work was supported by Russian Foundation for Basic Research, agreement 17-01-00875 for the first author, and by the program of fundamental scientific researches of the SB RAS I.1.2., project 0314-2016-0006 for the second author.
Received: 31.05.2018
Revised: 18.06.2018
Accepted: 18.09.2018
Bibliographic databases:
Document Type: Article
UDC: 517.518
MSC: 30C65
Language: English
Citation: N. A. Kudryavtseva, S. K. Vodopyanov, “On the convergence of mappings with $k$-finite distortion”, Probl. Anal. Issues Anal., 7(25), special issue (2018), 88–100
Citation in format AMSBIB
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\by N.~A.~Kudryavtseva, S.~K.~Vodopyanov
\paper On the convergence of mappings with $k$-finite distortion
\jour Probl. Anal. Issues Anal.
\yr 2018
\vol 7(25)
\pages 88--100
\issueinfo special issue
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\crossref{https://doi.org/10.15393/j3.art.2018.5511}
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