Estimates for lower bounds of eigenvalues of the poly-Laplacian and quadratic polynomial operator of the Laplacian

Details Estimates for lower bounds of eigenvalues of the poly-Laplacian and quadratic polynomial operator of the Laplacian Estimates for lower bounds of eigenvalues of the poly-Laplacian and quadratic polynomial operator of the Laplacian

2011-12-13

arxiv.org/abs/1112.2781v1

Mathematics

Differential Geometry

15 pages

Scientific paper

In this paper, we investigate the Dirchlet eigenvalue problems of
poly-Laplacian with any order and quadratic polynomial operator of the
Laplacian. We give some estimates for lower bounds of the sums of their first
$k$ eigenvalues which improve the previous results.

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