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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 434, Pages 91–100 (Mi znsl6144)  
This article is cited in 5 scientific papers (total in 5 papers)

On the univalence of solutions of second order elliptic equations in the unit disk on the plane

A. B. Zaitsev

Moscow State Technical University of Radioengineering, Electronics and Automation, Moscow, Russia
Full-text PDF (173 kB) Citations (5)
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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.
Key words and phrases: elliptic operator, unit disk, Dirichlet problem, one-to-one mapping.
Received: 20.04.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 215, Issue 5, Pages 601–607
DOI: https://doi.org/10.1007/s10958-016-2866-2
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. B. Zaitsev, “On the univalence of solutions of second order elliptic equations in the unit disk on the plane”, Investigations on linear operators and function theory. Part 43, Zap. Nauchn. Sem. POMI, 434, POMI, St. Petersburg, 2015, 91–100; J. Math. Sci. (N. Y.), 215:5 (2016), 601–607
Citation in format AMSBIB
\Bibitem{Zai15}
\by A.~B.~Zaitsev
\paper On the univalence of solutions of second order elliptic equations in the unit disk on the plane
\inbook Investigations on linear operators and function theory. Part~43
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 434
\pages 91--100
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6144}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3493702}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 215
\issue 5
\pages 601--607
\crossref{https://doi.org/10.1007/s10958-016-2866-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84965032101}
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  • https://www.mathnet.ru/eng/znsl/v434/p91
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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