Non-trivial solutions for a partial discrete Dirichlet nonlinear problem with p-Laplacian

被引：3

作者：

He, Huiting ^{[1
]}

Ousbika, Mohamed ^{[2
]}

El Allali, Zakaria ^{[2
]}

Zuo, Jiabin ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Univ Mohammed First Oujda, Fac Multidisciplinary Nador, Oriental Appl Math Lab, Team Modeling & Sci Comp, Oujda, Morocco

来源：

COMMUNICATIONS IN ANALYSIS AND MECHANICS | 2023年 / 15卷 / 04期

基金：

中国博士后科学基金;

关键词：

partial discrete nonlinear problem; critical point theory; p-Laplacian; non-trivial solutions; BOUNDARY-VALUE PROBLEM; MULTIPLE SOLUTIONS; EXISTENCE; OPERATOR;

D O I：

10.3934/cam.2023030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the non-trivial solutions for a partial discrete Dirichlet nonlinear problem with p-Laplacian by applying Ricceri's variational principle and a two non-zero critical points theorem. In addition, we identify open intervals of the parameter lambda under appropriate constraints imposed on the nonlinear term. This allows us to ensure that the nonlinear problem has at least one or two non-trivial solutions.

引用

页码：598 / 610

页数：13

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