Estimates for eigenvalues of the operator Lr

被引：0

作者：

Huang, Guangyue ^{[1
]}

Qi, Xuerong ^{[2
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 507卷 / 01期

基金：

中国国家自然科学基金;

关键词：

r-Minimal submanifolds; L-r operator; Eigenvalues; 1ST EIGENVALUE; JACOBI OPERATOR; HYPERSURFACES;

D O I：

10.1016/j.jmaa.2021.125739

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider eigenvalues of the elliptic operator L-r = div(T-r del.) on closed submanifolds in space forms R-N(c) with c >= 0. Our estimates on eigenvalues are sharp. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：13

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