MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Some estimations of positive and negative eigenvalues for an inhomogeneous membrane
Milutin Dostanić

Abstract

In this paper we give some simple estimates of positive and negative eigenvalues for the inhomogeneous membrane boundary problem $$ -\Delta u=\lambda mu,\quad u\,|_{\partial D=0} $$ if $D\subset R^2$ is a simple connected domain and $m$ is a real bounded function (possibly changing the sign).

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Keywords: Inhomogeneous membrane problem, estimation of eigenvalues.

MSC: 35P15, 35J25, 47F05

Pages:  11--14     

Volume  48 ,  Issue  1$-$2 ,  1996