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arXiv · 1012.3006

A lower bound for eigenvalues of the poly-Laplacian with arbitrary order

Qing-Ming Cheng·Xuerong Qi·Guoxin Wei
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Abstract

In this paper, we study eigenvalues of the poly-Laplacian with arbitrary order on a bounded domain in an $n$-dimensional Euclidean space and obtain a lower bound for eigenvalues, which gives an important improvement of results due to Levine and Protter. In particular, the result of Melas is included here.

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Qing-Ming Cheng, Xuerong Qi, Guoxin Wei. 2010-12-14. A lower bound for eigenvalues of the poly-Laplacian with arbitrary order. https://arxiv.org/abs/1012.3006

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