Logarithmic Holder continuous mappings and Beltrami equation

被引：7
|
作者：
Sevost'yanov, Evgeny [1 ,2 ]
Skvortsov, Sergei [1 ]
机构：
[1] Zhytomyr Ivan Franko State Univ, 40 Bolshaya Berdichevskaya Str, Zhytomyr 10 008, Ukraine
[2] NAS Ukraine, Inst Appl Math & Mech, 1 Dobrovolskogo Str, Slavyansk 84 100, Ukraine
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2021年 / 11卷 / 03期
关键词：
Primary; 30C65; Secondary; 31A15; 31B25; OPEN DISCRETE MAPPINGS; HOMEOMORPHISMS; LENGTH;
D O I：
10.1007/s13324-021-00573-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is devoted to the study of mappings satisfying the inverse Poletsky inequality. We study the local behavior of these mappings. We are most interested in the case when the corresponding majorant is integrable on some set of spheres of positive linear measure. Our main result is a logarithmic Holder continuity of such mappings at inner points. As a corollary, we have established the existence of a continuous ACL-solution of the Beltrami equation, which is logarithmic Holder continuous.
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页数：28
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