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arXiv · 1307.5313

Upper Bound Estimates for Eigenvalues of the Poly-Laplacian

Lingzhong Zeng
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Abstract

In this paper, we obtain a sharp upper bound for the sum of the first $k$-th eigenvalues for this Dirichlet problem of poly-Laplacian with any order, which is viewed as an extension of the result due to Cheng and Wei (Journal of Differential Equations, 255 (2013), 220-233). In particular, if $l=2$ and $k$ is large enough, we give an important improvement of their result.

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Lingzhong Zeng. 2013-07-19. Upper Bound Estimates for Eigenvalues of the Poly-Laplacian. https://arxiv.org/abs/1307.5313

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