On a Poletskii-Type Inequality for Mappings of the Riemannian Surfaces

被引：0

作者：

Sevost'yanov, E. A. ^{[1
,2
]}

机构：

[1] I Franko Zhytomyr State Univ, Slovyansk, Ukraine

[2] Ukrainian Natl Acad Sci, Inst Appl Math & Mech, Slovyansk, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2020年 / 72卷 / 05期

关键词：

D O I：

10.1007/s11253-020-01824-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish upper estimates for the distortion of the modulus of families of curves under mappings from the Sobolev class whose dilatation is locally integrable. As a consequence, we prove theorems on the local and boundary behaviors of these mappings.

引用

页码：816 / 835

页数：20

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