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

共 50 条

[31] The Nehari manifold for a Navier boundary value problem involving the p-biharmonic
Nyamoradi, N.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2011, 35 (A2): : 149 - 155
[32] MULTIPLICITY OF POSITIVE SOLUTIONS FOR A NAVIER BOUNDARY-VALUE PROBLEM INVOLVING THE p-BIHARMONIC WITH CRITICAL EXPONENT
Shen, Ying
Zhang, Jihui
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[33] Existence of three solutions for a class of (p1, ..., pn)-biharmonic systems with Navier boundary conditions
Heidarkhani, Shapour
Tian, Yu
Tang, Chun-Lei
ANNALES POLONICI MATHEMATICI, 2012, 104 (03) : 261 - 277
[34] AN EXISTENCE RESULT FOR A CLASS OF p-BIHARMONIC PROBLEM INVOLVING CRITICAL NONLINEARITY
Ourraoui, Anass
MATEMATICKI VESNIK, 2019, 71 (03): : 277 - 283
[35] Multiplicity results involving p-biharmonic Kirchhoff-type problems
Alsaedi, Ramzi
BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
[36] Multiple solutions to a class of p(x)-biharmonic differential inclusion problem with no-flux boundary condition
Zhou, Qing-Mei
Wang, Ke-Qi
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (04) : 1549 - 1565
[37] Multiple solutions to a class of p(x)-biharmonic differential inclusion problem with no-flux boundary condition
Qing-Mei Zhou
Ke-Qi Wang
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018, 112 : 1549 - 1565
[38] SINGULAR p-BIHARMONIC PROBLEMS INVOLVING THE HARDY-SOBOLEV EXPONENT
Drissi, Amor
Ghanmi, Abdeljabbar
Repovs, Dusan D.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 2023 (61)
[39] Existence of three solutions to a double eigenvalue problem for the p-biharmonic equation
Li, Lin
Heidarkhani, Shapour
ANNALES POLONICI MATHEMATICI, 2012, 104 (01) : 71 - 80
[40] Multiplicity results involving p-biharmonic Kirchhoff-type problems
Ramzi Alsaedi
Boundary Value Problems, 2020

← 1 2 3 4 5 →