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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 6, Pages 1362–1371 (Mi smj1376)  
This article is cited in 6 scientific papers (total in 6 papers)

A discreteness criterion for the spectrum of the Laplace–Beltrami operator on quasimodel manifolds

A. V. Svetlov

Volgograd State University
Full-text PDF (209 kB) Citations (6)
Abstract: We study the spectrum of the Laplace–Beltrami operator on noncompact Riemannian manifolds of a special form, in particular on model manifolds. We obtain a discreteness criterion for the spectrum in terms of the volume and capacity of some domains on a manifold.
Keywords: noncompact Riemannian manifold, Laplace–Beltrami operator, discrete spectrum.
Received: 16.01.2002
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 6, Pages 1103–1111
DOI: https://doi.org/10.1023/A:1021129703899
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: A. V. Svetlov, “A discreteness criterion for the spectrum of the Laplace–Beltrami operator on quasimodel manifolds”, Sibirsk. Mat. Zh., 43:6 (2002), 1362–1371; Siberian Math. J., 43:6 (2002), 1103–1111
Citation in format AMSBIB
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\by A.~V.~Svetlov
\paper A~discreteness criterion for the spectrum of the Laplace--Beltrami operator on quasimodel manifolds
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 6
\pages 1362--1371
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\zmath{https://zbmath.org/?q=an:1018.58022}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 6
\pages 1103--1111
\crossref{https://doi.org/10.1023/A:1021129703899}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000180105300013}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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