Payne–Polya–Weinberger, Hile–Protter and Yang’s Inequalities for Dirichlet Laplace Eigenvalues on Integer Lattices
نویسندگان
چکیده
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 Oden.
منابع مشابه
Payne-polya-weinberger, Hile-protter and Yang’s Inequalities for Dirichlet Laplace Eigenvalues on Integer Lattices
In this paper, we prove some analogues of Payne-Polya-Weinberger, HileProtter and Yang’s inequalities for Dirichlet (discrete) Laplace eigenvalues on any subset in the integer lattice Z. This partially answers a question posed by Chung and Oden [CO00].
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2023
ISSN: ['1559-002X', '1050-6926']
DOI: https://doi.org/10.1007/s12220-023-01284-z