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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 2, Pages 288–292 (Mi zvmmf39)  
On the emptiness criteria for the discrete spectrum of the Dirichlet problem for the equation $\Delta v+\lambda v=0$

M. D. Malykh

Faculty of Physics, Moscow State University, Moscow, 119992, Russia
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Abstract: An improved Rellich emptiness criterion is proposed for the discrete spectrum of the Dirichlet problem for the equation $\Delta v+\lambda v=0$. Examples of its application are given.
Key words: Laplacian, discrete spectrum, boundary value problem.
Received: 26.03.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 2, Pages 279–283
DOI: https://doi.org/10.1134/S0965542509020079
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: M. D. Malykh, “On the emptiness criteria for the discrete spectrum of the Dirichlet problem for the equation $\Delta v+\lambda v=0$”, Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009), 288–292; Comput. Math. Math. Phys., 49:2 (2009), 279–283
Citation in format AMSBIB
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