ESTIMATES FOR SUMS OF EIGENVALUES OF THE FREE PLATE WITH NONZERO POISSON'S RATIO

摘要

By using the Fourier transform, we successfully give Kroger-type estimates for sums of eigenvalues of the free plate (under tension and with nonzero Poisson's ratio) in terms of the dimension of the ambient space, the volume of the domain, the tension parameter and the Poisson's ratio.