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Eurasian Mathematical Journal, 2012, Volume 3, Number 1, Pages 143–146 (Mi emj80)  
This article is cited in 21 scientific papers (total in 21 papers)

Short communications

On analogues of periodic boundary value problems for the Laplace operator in a ball

M. A. Sadybekova, B. K. Turmetovb

a Institute of Mathematics, Informatics and Mechanics, Shevchenko 28, 050010 Almaty, Kazakhstan
b International Kazakh-Turkish University named after A. Yasawi, Sattarhanov street, 161200 Turkestan, Kazahstan
Full-text PDF (275 kB) Citations (21)
Abstract: We consider a new class of boundary value problems for the Laplace operator in a multi-dimensional ball. These problems are analogues of classical periodic boundary value problems. We prove the correctness of these problems. We present a method of constructing of all eigenfunctions of the problem.
Keywords and phrases: the Laplace operator, periodic boundary value problem, extremum principle, the Green function, eigenvalues, eigenfunctions.
Received: 04.06.2012
Bibliographic databases:
Document Type: Article
MSC: 35J05, 35J08, 35J25, 35P05
Language: English
Citation: M. A. Sadybekov, B. K. Turmetov, “On analogues of periodic boundary value problems for the Laplace operator in a ball”, Eurasian Math. J., 3:1 (2012), 143–146
Citation in format AMSBIB
\Bibitem{SadTur12}
\by M.~A.~Sadybekov, B.~K.~Turmetov
\paper On analogues of periodic boundary value problems for the Laplace operator in a ball
\jour Eurasian Math. J.
\yr 2012
\vol 3
\issue 1
\pages 143--146
\mathnet{http://mi.mathnet.ru/emj80}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3024115}
\zmath{https://zbmath.org/?q=an:1271.35016}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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