Three Nontrivial Solutions for Kirchhoff-Type Variational-Hemivariational Inequalities

被引：1

作者：

Chu, Jifeng ^{[1
]}

Gharehgazlouei, Fariba ^{[2
]}

Heidarkhani, Shapour ^{[2
]}

Solimaninia, Arezoo ^{[2
]}

机构：

[1] Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Jiangsu, Peoples R China

[2] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

来源：

RESULTS IN MATHEMATICS | 2015年 / 68卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Multiple solutions; Kirchhoff type variational-hemivariational inequality; critical point theory; variational methods; CRITICAL-POINTS THEOREM; NON-DIFFERENTIABLE FUNCTIONALS; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.1007/s00025-014-0423-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of three distinct nontrivial solutions for a nonlocal perturbed Kirchhoff-type variational-hemivariational inequalities. The proof is based on three critical point theorems for non-smooth functional due to Bonanno and Winkert.

引用

页码：71 / 91

页数：21

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