Email this article On Univalence of Solutions of Second-Order Elliptic Equations in the Unit Disk on the Plane
- Authors: Zaitsev A.B.1
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Affiliations:
- Moscow State Technical University of Radio Engineering, Electronics, and Automatics
- Issue: Vol 215, No 5 (2016)
- Pages: 601-607
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237675
- DOI: https://doi.org/10.1007/s10958-016-2866-2
- ID: 237675
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Abstract
Sufficient conditions on a function continuous on the unit circle are found ensuring that the solution of the Dirichlet problem in the unit disk for a certain second-order partial differential equation with this boundary function is a homeomorphism of the unit disk onto a simply connected Jordan domain. Bibliography: 5 titles.
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About the authors
A. B. Zaitsev
Moscow State Technical University of Radio Engineering, Electronics, and Automatics
Author for correspondence.
Email: abzai75@mail.ru
Russian Federation, Moscow
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