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Matematicheskie Zametki, 1970, Volume 7, Issue 4, Pages 495–502 (Mi mzm9533)  
This article is cited in 6 scientific papers (total in 7 papers)

Spectrum of an elliptic equation

A. G. Aslanyana, V. B. Lidskiib

a Moscow Physicotechnical Institute
b Institute of Problems of Mechanics, Academy of Sciences of the USSR
Full-text PDF (802 kB) Citations (7)
Abstract: It is shown that the spectrum for the first boundary-value problem for a second-order elliptic equation always lies in the half-plane $\lambda_0\leqslant\mathrm{Re}\,z$, where $\lambda_0$ is the leading eigenvalue to which there corresponds a nonnegative eigenfunction. Apart from $\lambda_0$, there are no other points of the spectrum on the straight line $\mathrm{Re}\,z=\lambda_0$.
Received: 24.07.1969
English version:
Mathematical Notes, 1970, Volume 7, Issue 4, Pages 300–304
DOI: https://doi.org/10.1007/BF01151706
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. G. Aslanyan, V. B. Lidskii, “Spectrum of an elliptic equation”, Mat. Zametki, 7:4 (1970), 495–502; Math. Notes, 7:4 (1970), 300–304
Citation in format AMSBIB
\Bibitem{AslLid70}
\by A.~G.~Aslanyan, V.~B.~Lidskii
\paper Spectrum of an elliptic equation
\jour Mat. Zametki
\yr 1970
\vol 7
\issue 4
\pages 495--502
\mathnet{http://mi.mathnet.ru/mzm9533}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=268551}
\zmath{https://zbmath.org/?q=an:0214.36401}
\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 4
\pages 300--304
\crossref{https://doi.org/10.1007/BF01151706}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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