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arXiv · 1710.05799

Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices

Bobo Hua·Yong Lin·Yanhui Su
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Abstract

In this paper, we prove some analogues of Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet (discrete) Laplace eigenvalues on any subset in the integer lattice $\Z^n.$ This partially answers a question posed by Chung and Oden.

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Bobo Hua, Yong Lin, Yanhui Su. 2017-10-16. Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices. https://arxiv.org/abs/1710.05799

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