On the boundary extension of mappings on Riemannian surfaces in terms of prime ends

被引：0
作者：
Sevost’yanov E. [1 ,2 ]
Dovhopiatyi O. [1 ]
Ilkevych N. [1 ]
Kalenska V.
机构：
[1] Zhytomyr Ivan Franko State University, Zhytomyr
[2] Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slovyansk
来源：
Journal of Mathematical Sciences | 2023年 / 274卷 / 3期
关键词：
boundary behavior; mappings with a finite and bounded distortion; prime ends; Riemannian surfaces;
D O I：
10.1007/s10958-023-06606-8
中图分类号：
学科分类号：
摘要：
We investigate non-homeomorphic mappings of the Riemannian surfaces of Sobolev class. Some distortion estimates have been obtained for the moduli of families of paths. We have proved that under some conditions, these mappings have a continuous extension to the boundary of a domain in terms of prime ends. © 2023, Springer Nature Switzerland AG.
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页码：370 / 382
页数：12
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