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Eurasian Mathematical Journal, 2018, Volume 9, Number 3, Pages 73–84
DOI: https://doi.org/10.32523/2077-9879-2018-9-3-73-84
(Mi emj306)
 

This article is cited in 5 scientific papers (total in 5 papers)

Some boundary value problems for the Cauchy–Riemann equation in half lens

N. Taghizadeh, V. Soltani Mohammadi

Faculty of Mathematical Sciences, University of Guilan, Namjoo st, P.O.Box 19141, Rasht, Iran
Full-text PDF (381 kB) Citations (5)
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Abstract: In this article, the boundary behaviour of the Schwarz-type operator on the half lens $\Omega$ will be discussed and the existence of boundary values at corner points is proved. Finally, two basic boundary value problems, namely, Dirichlet and Neumann problems for analytic functions and more generally the Dirichlet problem for the inhomogeneous Cauchy–Riemann equation in $\Omega$ is investigated.
Keywords and phrases: Schwarz-type operator, Schwarz problem, Dirichlet problem, Neumann problem, half lens.
Received: 28.07.2016
Revised: 22.10.2018
Bibliographic databases:
Document Type: Article
Language: English
Citation: N. Taghizadeh, V. Soltani Mohammadi, “Some boundary value problems for the Cauchy–Riemann equation in half lens”, Eurasian Math. J., 9:3 (2018), 73–84
Citation in format AMSBIB
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\by N.~Taghizadeh, V.~Soltani Mohammadi
\paper Some boundary value problems for the Cauchy--Riemann equation in half lens
\jour Eurasian Math. J.
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\vol 9
\issue 3
\pages 73--84
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  • 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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