The first eigenvalue of polyharmonic operators and its applications

被引：0
|
作者：
Feng, Meiqiang [1 ]
Lu, Yichen [1 ]
机构：
[1] School of Applied Science, Beijing Information Science & Technology University, Beijing
来源：
Applied Mathematics Letters | 2025年 / 167卷
基金：
中国国家自然科学基金;
关键词：
Navier boundary conditions; Necessary condition; Polyharmonic operator; Positive solution; The first eigenvalue;
D O I：
10.1016/j.aml.2025.109559
中图分类号：
学科分类号：
摘要：
In this paper, our main purpose is to prove the existence of the first eigenvalue for the polyharmonic operator with Navier boundary conditions. In addition, the corresponding eigenfunction is demonstrated to be positive. As an application, we will discuss a necessary condition for the existence of positive solutions to some polyharmonic problems on the first eigenvalue. © 2025 Elsevier Ltd
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