On the convergence of mappings with \(k\)-finite distortion
type: Item
instance of: scholarly article
title: On the convergence of mappings with \(k\)-finite distortion
zbMATH Open document ID: 1393.30020
DOI: 10.1134/S0001434617110281
author: N. A. Kudryavtseva
author: S. K. Vodop'yanov
published in: Mathematical Notes
publication date: 2018-02-28T00:00:00Z
review text: The authors study classes of mappings with \(k\)-finite distortion, which are closely connected to the problem of pull-backs of differential \(k\)-forms. The main result states the lower semicontinuity of distortion coefficients under locally uniform convergence in the case of homeomorphisms with \(k\)-finite \((q,p)\)-bounded distortion. The obtained results are closely related to those from [the first author and \textit{A. O. Molchanova}, Sib. Math. J. 57, No. 5, 778--787 (2016; Zbl 1359.30040); translation from Sib. Mat. Zh. 57, No. 5, 999--1011 (2016)] and based on a method developed in the first author's work [Sib. Adv. Math. 14, No. 1, 84--125 (2004; Zbl 1076.30025)].
reviewed by: Anastasia Molchanova
Mathematics Subject Classification ID: 30C65
zbMATH DE Number: 6845193
zbMATH Keywords: mapping with \(k\)-finite distortion
zbMATH Keywords: distortion coefficient
zbMATH Keywords: passage to limit
zbMATH Keywords: differential form
MaRDI profile type: Publication
cites work: Q3947877
cites work: Q5565773
cites work: Change of variables formula under minimal assumptions
cites work: Q5607484
full work available at URL: s0001434617110281
OpenAlex ID: W2779691822
description: scientific article; zbMATH DE number 6845193