Eigenvalue estimates for a generalized Paneitz operator

被引：0
|
作者：
Azami, Shahroud [1 ]
机构：
[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2023年 / 133卷 / 02期
关键词：
Paneitz operator; eigenvalues; submanifolds; curvature;
D O I：
10.1007/s12044-023-00749-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give some universal inequalities for the eigenvalues of a generalized Paneitz operator on a bounded domain in a complete Riemannian manifold. As an application, we obtain a universal bound for the (k + 1)-th eigenvalue of the weighted Paneitz operator on compact domains of complete submanifolds in the Euclidean space in terms of the first k eigenvalue independent of the domains.
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页数：18
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