Multiple solutions for a class of p-biharmonic problems with potential boundary conditions

被引：0

作者：

Chinni, Antonia ^{[1
]}

Di Bella, Beatrice ^{[1
]}

Jebelean, Petru ^{[2
]}

Serban, Calin ^{[3
]}

机构：

[1] Univ Messina, Dept Engn, I-98166 Messina, Italy

[2] West Univ Timisoara, Inst Adv Environm Res, Blvd V Parvan 4, Timisoara 300223, Romania

[3] West Univ Timioara, Dept Math, Blvd V Parvan 4, Timisoara 300223, Romania

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 76卷

关键词：

p-biharmonic equation; Nonsmooth nonlinearity; Multivalued boundary condition; Critical point; Palais-Smale condition;

D O I：

10.1016/j.nonrwa.2023.104012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with multiplicity of solutions for differential inclusions involving the p-biharmonic operator, submitted to a general potential multivalued boundary condition which, among others, covers many particular boundary conditions that are frequently invoked in the literature. Our approach is a variational one and relies on non-smooth critical point theory.(c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：17

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