Email this article On a Vӓisӓlӓ-type inequality for the angular dilatation of mappings and some of its applications
- Authors: Sevost’yanov E.A.1, Salimov R.R.2
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Affiliations:
- I. Franko Zhitomir State University
- Institute of Mathematics of the NAS of Ukraine
- Issue: Vol 218, No 1 (2016)
- Pages: 69-88
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238167
- DOI: https://doi.org/10.1007/s10958-016-3011-y
- ID: 238167
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Abstract
For a subtype of mappings with finite distortion f : D → D′, D, D′ ⊂ ℝn; n ≥ 2; which admit the existence of branch points, a modular inequality playing an essential role in the study of various problems of planar and spatial mappings is established. As an application, the problem of removal of isolated singularities of open discrete mappings with finite length distortion is investigated.
About the authors
Evgeny A. Sevost’yanov
I. Franko Zhitomir State University
Author for correspondence.
Email: brusin2006@rambler.ru
Ukraine, Zhitomir
Ruslan R. Salimov
Institute of Mathematics of the NAS of Ukraine
Email: brusin2006@rambler.ru
Ukraine, Kiev
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