The sharp estimates of eigenvalues of Polyharmonic operator and higher order Stokes operator

Abstract

In this paper, we establish some lower bounds for the sums of eigenvalues of the polyharmonic operator and higher order Stokes operator, which are sharper than the recent results in CSWZ13, I13. At the same time, we obtain some certain bounds for the sums of positive and negative powers of eigenvalues of the polyharmonic operator.

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