The Boundary Hölder Continuity of Mappings with the Poletsky Condition

Sevost’yanov, Е. А. (2024) The Boundary Hölder Continuity of Mappings with the Poletsky Condition. Journal of Mathematical Sciences, 281 (5). pp. 818-835. ISSN 1072-3374

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Abstract

We consider mappings distorting the modulus of families of paths by means of a Poletsky type inequality. At boundary points of a domain, we prove the Hölder continuity of mappings such that integral averages of their characteristics over infinitesimal balls are finite. We separately study the classes of homeomorphisms and the classes of mappings with branching, as well as domains with good boundaries and domains with prime ends

Item Type:	Article
Subjects:	Q Science > QA Mathematics > Mathematical Analysis
Depositing User:	Євген Севостьянов
Date Deposited:	09 Jun 2024 12:59
Last Modified:	09 Jun 2024 12:59
URI:	http://eprints.zu.edu.ua/id/eprint/39969

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