The Boundary Hölder Continuity of Mappings with the Poletsky Condition

被引：0
|
作者：
Evgeny Sevost’yanov
机构：
[1] Zhytomyr Ivan Franko State University,
[2] Institute of Applied Mathematics and Mechanics of NAS of Ukraine,undefined
来源：
Journal of Mathematical Sciences | 2024年 / 281卷 / 5期
关键词：
D O I：
10.1007/s10958-024-07149-2
中图分类号：
学科分类号：
摘要：
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.
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页码：818 / 835
页数：17
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