具有双重共振的加权(p,2)方程

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-03-30 DOI:10.58997/ejde.2023.30

Zhenhai Liu, Nikolaos S. Papageorgiou

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引用次数: 1

摘要

我们考虑一个由加权（p，2）-拉普拉斯算子驱动的Dirichlet问题，该问题的反应在\（\pm\infty\）和零处都是共振的（双共振）。我们证明了一个多重性定理，它产生三个具有符号信息和有序的非平凡光滑解。在附录中，我们发展了加权r-拉普拉斯微分算子的谱性质。

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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A weighted (p,2)-equation with double resonance

We consider a Dirichlet problem driven by a weighted (p,2)-Laplacian with a reaction which is resonant both at \(\pm\infty\) and at zero (double resonance). We prove a multiplicity theorem producing three nontrivial smooth solutions with sign information and ordered. In the appendix we develop the spectral properties of the weighted r-Laplace differential operator.

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.