The first eigenvalue of polyharmonic operators and its applications

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-04-01 DOI:10.1016/j.aml.2025.109559

Meiqiang Feng, Yichen Lu

引用次数: 0

Abstract

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.

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多谐算子的第一特征值及其应用

在本文中，我们的主要目的是证明具有Navier边界条件的多谐算子第一特征值的存在性。此外，还证明了相应的特征函数是正的。作为应用，我们讨论了一类多谐问题在第一特征值上正解存在的一个必要条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.