On Distortion Estimates of Mappings with the Poletsky Condition in Domains with Poincare Inequality

被引：0

作者：

Dovhopiatyi, Oleksandr ^{[1
]}

Sevost'yanov, Evgeny ^{[1
,2
]}

机构：

[1] Zhytomyr Ivan Franko State Univ, Zhytomyr, Ukraine

[2] NAS Ukraine, Inst Appl Math & Mech, Slovyansk, Ukraine

来源：

NEW TOOLS IN MATHEMATICAL ANALYSIS AND APPLICATIONS, ISAAC CONGRESS 2023 | 2025年

关键词：

CONTINUITY; HOLDER;

D O I：

10.1007/978-3-031-77050-0_12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article is devoted to the study of mappings that distort the modulus of families of paths according to the Poletsky inequality type. At the boundary points of the domain, we have obtained an estimate of the distance distortion for such mappings provided that their characteristic has finite integral averages over the balls, and the image domain of mappings is Ahlfors regular and such that the Poincare inequality holds. The manuscript considers the cases of homeomorphisms and mappings with branching.

引用

页码：133 / 143

页数：11

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