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Matematicheskie Trudy, 2017, Volume 20, Number 1, Pages 75–80
DOI: https://doi.org/10.17377/mattrudy.2017.20.104 (Mi mt314) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A majorant for the multiplicities of eigenvalues of the Laplace operator with periodic conditions

V. L. Vaskevichab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (140 kB) Citations (2)
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DOI: https://doi.org/10.17377/mattrudy.2017.20.104
Abstract: In the case of periodic conditions, we find explicit upper estimates in terms of power functions for the multiplicities $r_n(p)$ of eigenvalues of the Laplace operator.
Key words: multiplicity of eigenvalues of the Laplace operator, periodic conditions, explicit upper estimates.
Received: 29.11.2016
English version:
Siberian Advances in Mathematics, 2018, Volume 28, Issue 1, Pages 74–77
DOI: https://doi.org/10.3103/S1055134418010078
Bibliographic databases:
Document Type: Article
UDC: 517.956.225, 517.518.28, 512.754
Language: Russian
Citation: V. L. Vaskevich, “A majorant for the multiplicities of eigenvalues of the Laplace operator with periodic conditions”, Mat. Tr., 20:1 (2017), 75–80; Siberian Adv. Math., 28:1 (2018), 74–77
Citation in format AMSBIB
\Bibitem{Vas17}
\by V.~L.~Vaskevich
\paper A majorant for the multiplicities of eigenvalues of the Laplace operator with periodic conditions
\jour Mat. Tr.
\yr 2017
\vol 20
\issue 1
\pages 75--80
\mathnet{http://mi.mathnet.ru/mt314}
\crossref{https://doi.org/10.17377/mattrudy.2017.20.104}
\elib{https://elibrary.ru/item.asp?id=29145401}
\transl
\jour Siberian Adv. Math.
\yr 2018
\vol 28
\issue 1
\pages 74--77
\crossref{https://doi.org/10.3103/S1055134418010078}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85043581103}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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