The spectrum of an elliptic operator of second order
Matematičeskie zametki, Tome 20 (1976) no. 3, pp. 351-358
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Under minimal requirements on the coefficients and the boundary of the domain it is proved that the spectrum of the first boundary-value problem for an elliptic operator of second order always lies in the half-plane $\lambda'\le\operatorname{Re}\lambda$, where $\lambda'$ is the leading eigenvalue to which there corresponds a nonnegative eigenfunction. On the line $\operatorname{Re}\lambda=\lambda'$, there are no other points of the spectrum.