Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices
Differential Geometry
2017-10-17 v1
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 This partially answers a question posed by Chung and Oden.
Keywords
Cite
@article{arxiv.1710.05799,
title = {Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices},
author = {Bobo Hua and Yong Lin and Yanhui Su},
journal= {arXiv preprint arXiv:1710.05799},
year = {2017}
}