On the boundary behavior of mappings with finite distortion in the plane
- 作者: Kovtonyuk D.1, Petkov I.2, Ryazanov V.3
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隶属关系:
- Donetsk State University of Management
- National Shipbuilding University
- Institute of Applied Mathematics and Mechanics
- 期: 卷 38, 编号 2 (2017)
- 页面: 290-306
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198987
- DOI: https://doi.org/10.1134/S1995080217020123
- ID: 198987
如何引用文章
详细
In terms of prime ends by Caratheodory, it is studied the boundary behavior of the socalled lower Q-homeomorphisms in the plane that are a natural generalization of the quasiconformal mappings. In particular, it was found a series of effective conditions on the function Q(z) for a homeomorphic extension of the given mappings to the boundary by prime ends. The developed theory is applied to mappings with finite distortion by Iwaniec as well as to finitely bi–Lipschitz mappings that a far–reaching extension of the known classes of isometric and quasiisometric mappings.
作者简介
D. Kovtonyuk
Donetsk State University of Management
编辑信件的主要联系方式.
Email: denis_kovtonyuk@bk.ru
乌克兰, ul. Chelyuskintsev 163a, Donetsk, 83015
I. Petkov
National Shipbuilding University
Email: denis_kovtonyuk@bk.ru
乌克兰, pr. Geroev Stalingrada 9, Nikolaev, 54025
V. Ryazanov
Institute of Applied Mathematics and Mechanics
Email: denis_kovtonyuk@bk.ru
乌克兰, ul. Dobrovol’skogo 1, Slavyansk, 84100