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arXiv · 1112.2781

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

Qing-Ming Cheng·He-Jun Sun·Guoxin Wei·Lingzhong Zeng
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Abstract

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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Qing-Ming Cheng, He-Jun Sun, Guoxin Wei, Lingzhong Zeng. 2011-12-13. Estimates for lower bounds of eigenvalues of the poly-Laplacian and quadratic polynomial operator of the Laplacian. https://arxiv.org/abs/1112.2781

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