On locally invertible harmonic mappings of plane domains

dc.contributor.author	Avkhadiev F.
dc.date.accessioned	2018-09-19T22:11:17Z
dc.date.available	2018-09-19T22:11:17Z
dc.date.issued	2017
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/144835
dc.description.abstract	© 2017, Pleiades Publishing, Ltd.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.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	argument principle
dc.subject	Hadamard’s theorem
dc.subject	Harmonic mapping
dc.subject	local homeomorphism
dc.subject	Mises coordinates
dc.title	On locally invertible harmonic mappings of plane domains
dc.type	Article
dc.relation.ispartofseries-issue	3
dc.relation.ispartofseries-volume	38
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	400
dc.source.id	SCOPUS19950802-2017-38-3-SID85019749072

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.