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On the convergence of mappings with K-finite distortion. / Kudryavtseva, N. A.; Vodopyanov, S. K.

In: Problemy Analiza, Vol. 7, No. Specialissue, 01.01.2018, p. 88-100.

Research output: Contribution to journal › Article › peer-review

Harvard

Kudryavtseva, NA & Vodopyanov, SK 2018, 'On the convergence of mappings with K-finite distortion', Problemy Analiza, vol. 7, no. Specialissue, pp. 88-100. https://doi.org/10.15393/j3.art.2018.5511

APA

Kudryavtseva, N. A., & Vodopyanov, S. K. (2018). On the convergence of mappings with K-finite distortion. Problemy Analiza, 7(Specialissue), 88-100. https://doi.org/10.15393/j3.art.2018.5511

Vancouver

Kudryavtseva NA, Vodopyanov SK. On the convergence of mappings with K-finite distortion. Problemy Analiza. 2018 Jan 1;7(Specialissue):88-100. doi: 10.15393/j3.art.2018.5511

Author

Kudryavtseva, N. A. ; Vodopyanov, S. K. / On the convergence of mappings with K-finite distortion. In: Problemy Analiza. 2018 ; Vol. 7, No. Specialissue. pp. 88-100.

BibTeX

@article{59b69af634984e03aae0ce4650fd49ad,
title = "On the convergence of mappings with K-finite distortion",
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 = "Differential form, Distortion coefficient, Mapping with k-finite distortion, Passing to the limit, differential form, distortion coefficient, passing to the limit, SPACES, (P, mapping with k-finite distortion, Q)-DISTORTION, LIMIT",
author = "Kudryavtseva, {N. A.} and Vodopyanov, {S. K.}",
year = "2018",
month = jan,
day = "1",
doi = "10.15393/j3.art.2018.5511",
language = "English",
volume = "7",
pages = "88--100",
journal = "Problemy Analiza",
issn = "2306-3424",
publisher = "Petrozavodsk State University",
number = "Specialissue",

}

RIS

TY - JOUR

T1 - On the convergence of mappings with K-finite distortion

AU - Kudryavtseva, N. A.

AU - Vodopyanov, S. K.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Differential form

KW - Distortion coefficient

KW - Mapping with k-finite distortion

KW - Passing to the limit

KW - differential form

KW - distortion coefficient

KW - passing to the limit

KW - SPACES

KW - (P

KW - mapping with k-finite distortion

KW - Q)-DISTORTION

KW - LIMIT

UR - http://www.scopus.com/inward/record.url?scp=85056129612&partnerID=8YFLogxK

U2 - 10.15393/j3.art.2018.5511

DO - 10.15393/j3.art.2018.5511

M3 - Article

AN - SCOPUS:85056129612

VL - 7

SP - 88

EP - 100

JO - Problemy Analiza

JF - Problemy Analiza

SN - 2306-3424

IS - Specialissue

ER -

ID: 17487337