M. D. Malykh, “On the emptiness criteria for the discrete spectrum of the Dirichlet problem for the equation <nobr>$\Delta v+\lambda v=0$</nobr>”, Zh. Vychisl. Mat. Mat. Fiz., 2009, Volume 49, Number 2,Pages <nobr>288

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

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.

UDC: 519.632.4

Received: 26.03.2008