Perturbed fourth-order Kirchhoff-type problems

被引：0
|
作者：
Heidarkhani, Shapour [1 ]
Moradi, Shahin [1 ]
Caristi, Giuseppe [2 ]
Ge, Bin [3 ]
机构：
[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran
[2] Univ Messina, Dept Econ, Via Verdi 75, Messina, Italy
[3] Harbin Engn Univ, Dept Appl Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
TBILISI MATHEMATICAL JOURNAL | 2018年 / 11卷 / 04期
关键词：
Three distinct solutions; Fourth-order boundary value problem; Kirchhoff-type problem; Navier condition; Variational methods;
D O I：
10.32513/tbilisi/1546570890
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the existence of at least three distinct weak solutions for a perturbed nonlocal fourth-order Kirchhoff-type problem with Navier boundary conditions under appropriate hypotheses on nonlinear terms. Our main tools are based on variational methods and some critical points theorems. We give some examples to illustrate the obtained results.
引用
收藏
页码：113 / 143
页数：31
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