Three Nontrivial Solutions for Kirchhoff-Type Variational-Hemivariational Inequalities

Chu Jifeng; Gharehgazlouei Fariba; Heidarkhani Shapour; Solimaninia Arezoo

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Three Nontrivial Solutions for Kirchhoff-Type Variational-Hemivariational Inequalities

机译：Kirchhoff型变分-半变分不等式的三个非平凡解

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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.

机译：对于非局部扰动的Kirchhoff型变分半偏不等式，我们建立了三个不同的非平凡解的存在。证明是基于Bonanno和Winkert提出的非光滑函数的三个临界点定理。

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来源
《Results in mathematics》 |2015年第2期|共21页
作者
Chu Jifeng; Gharehgazlouei Fariba; Heidarkhani Shapour; Solimaninia Arezoo;
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正文语种 eng
中图分类数学;
关键词
Multiple solutions; Kirchhoff type variational-hemivariational inequality; critical point theory; variational methods;

机译：多重解;基尔霍夫型变分半不等式;临界点理论;变分方法;

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1. Three Nontrivial Solutions for Kirchhoff-Type Variational-Hemivariational Inequalities [J] . Chu Jifeng, Gharehgazlouei Fariba, Heidarkhani Shapour, Results in mathematics . 2015,第1a2期

机译：Kirchhoff型变分-半变分不等式的三个非平凡解
2. The Multiplicity of Nontrivial Solutions for a New -Kirchhoff-Type Elliptic Problem [J] . Chang-Mu Chu, Yu-Xia Xiao Journal of Function Spaces . 2021,第a期

机译：新的 - kirchhoff型椭圆问题的非竞争解决方案的多重性
3. The Multiplicity of Nontrivial Solutions for a New -Kirchhoff-Type Elliptic Problem [J] . Chang-Mu Chu, Yu-Xia Xiao Journal of Function Spaces and Applications . 2021,第a期

机译：新的 - kirchhoff型椭圆问题的非竞争解决方案的多重性
4. Existence of high energy solutions for Kirchhoff-type equations [C] . Chunhan Liu, Jianguo Wang International Conference on Systems Engineering and Modeling . 2013

机译：Kirchhoff型方程高能量解决方案的存在
5. Applications of canonical transformations and nontrivial vacuum solutions to flavor mixing and critical phenomena in quantum field theory. [D] . Mishchenko, Yuriy. 2004

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6. On stability analysis for generalized Minty variational-hemivariational inequality in reflexive Banach spaces [O] . Lu-Chuan Ceng, Ravi P. Agarwal, Jen-Chih Yao, -1

机译：自反Banach空间中广义Minty变分半偏不等式的稳定性分析
7. Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations [O] . Jung-Hyun Bae, Jae-Myoung Kim, Jongrak Lee, 2019

机译：p-biharmonic kirchhoff型方程非体现弱解的存在

Three Nontrivial Solutions for Kirchhoff-Type Variational-Hemivariational Inequalities

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