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.
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页数：17
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