On locally invertible harmonic mappings of plane domains
- 作者: Avkhadiev F.1
-
隶属关系:
- Kazan (Volga Region) Federal University
- 期: 卷 38, 编号 3 (2017)
- 页面: 400-407
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199185
- DOI: https://doi.org/10.1134/S1995080217030076
- ID: 199185
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详细
We prove several global univalence theorems for locally invertible harmonic mappings with certain prescribed boundary behavior in simply and multiply connected domains. In particular, we consider mappings with singular boundary points when the argument principle is not applicable. In addition, we examine harmonic mappings connected with the famous von Mises coordinates. It is shown the univalence of every locally univalent von Mises harmonic mapping defined in a domain convex in the direction of ordinate axis.
作者简介
F. Avkhadiev
Kazan (Volga Region) Federal University
编辑信件的主要联系方式.
Email: avkhadiev47@mail.ru
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, 420008
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