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

Preview

Text Download (190kB) | Preview

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, Business Analysis and Statistics
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

Actions (login required)

View Item