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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 5, Pages 820–840
DOI: https://doi.org/10.33048/smzh.2024.65.505 (Mi smj7894) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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) Citations (3)
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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
The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0006).
Received: 16.06.2024
Revised: 16.06.2024
Accepted: 20.08.2024
English version:
Siberian Mathematical Journal, 2024, Volume 65, Issue 5, Pages 1026–1042
DOI: https://doi.org/10.1134/S0037446624050057
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; Siberian Math. J., 65:5 (2024), 1026–1042
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}
\transl
\jour Siberian Math. J.
\yr 2024
\vol 65
\issue 5
\pages 1026--1042
\crossref{https://doi.org/10.1134/S0037446624050057}
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