К теории сходимости пространственных гомеоморфизмов класса Соболева.

Севостьянов, Е. А. (2005) К теории сходимости пространственных гомеоморфизмов класса Соболева. Доповіді національної академії наук України (10). pp. 40-41. ISSN 1025-6415

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Abstract

It is proved that the locally uniform limit f of a sequence of space homeomorphisms fm in the Sobolev class W1;n loc with the outer dilatations KO(x; fm) · K(x) 2 Ln¡1 loc is either a homeomorphism or a constant. If in addition, f is a homeomorphism of the class W1;n loc ; then KO(x; fm) · K(x) a.e.

Item Type: Article
Subjects: Q Science > QA Mathematics > Mathematical Analysis
Divisions: Faculty of Physics and Mathematics > Department of Mathematical Analysis
Depositing User: Ірина Ігорівна Таргонська
Date Deposited: 12 Nov 2014 08:18
Last Modified: 15 Aug 2015 10:10
URI: http://eprints.zu.edu.ua/id/eprint/13926

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