Lyapunov-type inequalities for a Sturm-Liouville problem of the one-dimensional p-Laplacian

IF 1.8 4区数学 Q1 MATHEMATICS

Differential and Integral Equations Pub Date : 2020-10-04 DOI:10.57262/die034-0708-383

S. Takeuchi, Kohtaro Watanabe

引用次数: 0

Abstract

This article considers the eigenvalue problem for the Sturm-Liouville problem including $p$-Laplacian \begin{align*} \begin{cases} \left(\vert u'\vert^{p-2}u'\right)'+\left(\lambda+r(x)\right)\vert u\vert ^{p-2}u=0,\,\, x\in (0,\pi_{p}),\\ u(0)=u(\pi_{p})=0, \end{cases} \end{align*} where $1

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一维p-Laplacian的Sturm-Liouville问题的Lyapunov型不等式

本文考虑了Sturm-Liouville问题的特征值问题，该问题包含$p$ -Laplacian \begin{align*} \begin{cases} \left(\vert u'\vert^{p-2}u'\right)'+\left(\lambda+r(x)\right)\vert u\vert ^{p-2}u=0,\,\, x\in (0,\pi_{p}),\\ u(0)=u(\pi_{p})=0, \end{cases} \end{align*}，其中$1

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

Differential and Integral Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential and Integral Equations will publish carefully selected research papers on mathematical aspects of differential and integral equations and on applications of the mathematical theory to issues arising in the sciences and in engineering. Papers submitted to this journal should be correct, new, and of interest to a substantial number of mathematicians working in these areas.

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