刘健

刘健,男,中共党员、博士、教授,山东莒南人,1980年出生,2005年参加工作,2017年入选山东财经大学青年优秀人才支持计划,Mathematics Letters(ISSN2575-5056)编委,Northern Borders University和University ofSfax高级访问学者,中国科学院访问学者,教育部学位与研究生教育发展中心评审专家,研究方向为非线性分析和偏微分方程,拥有ESI高被引论文2篇、ESI热点论文2篇、中国人民大学哲学社会科学主文献1篇,主持教育部人文社会科学项目1项、山东省自然科学基金面上项目2项、青年项目1项、山东省高校科技计划项目2项,获得山东省高等学校科学技术奖3项,指导全国研究生建模竞赛获国家二等奖2项,指导全国大学生数学建模竞赛获山东省一等奖5项,在《数学学报》、《Applied Mathematics Letters》等发表论文57篇.

Prof. Dr. Jian Liu

Youth excellent talent of Shandong University of Finance and Economics

Shandong University of Finance and Economics, Jinan, 250014, China

E-mail:liujian@sdufe.edu.cnliujianmath@163.com(For Academic Communication Only)

Education:

Ph.D., Applied mathematics, Qufu Normal University, 2011

ResearchFields:

Nonlinear analysis andElliptic equations

Selectedpublicationsof latest 10 years as corresponding author:

1. Liu Jian, Khaled Kefi, Mohamed Karim Hamdani, Existence of solutions for singular elliptic equations with mixed boundary conditions, Complex Variables and Elliptic Equations, 2024.

2. Liu Jian, An Qiguang,Analysis of degenerate p-Laplacian elliptic equations involving Hardy terms: Existence and numbers of solutions, Applied Mathematics Letters, 2025.

3. Liu Jian,Zhao Zengqin,Leray-Lions type p(x)-biharmonic equations involving Hardy potentials, Applied Mathematics Letters, 2024.

4. Liu Jian, Yu Wenguang, Two solutions to superlinear Hamiltonian systems with impulsive effects, Applied Mathematics Letters, 2020.

5. Liu Jian, Zhao Zengqin, Multiple solutions to damped Hamiltonian systems with impulsive effects, Applied Mathematics Letters, 2019.

6. Liu Jian, Zhao Zengqin, Multiple solutions for impulsive problems with non-autonomous perturbations, Applied Mathematics Letters, 2017.

7. Liu Jian, Yu Wenguang, Triple solutions for elliptic Dirichlet problems with a parameter, Results in Applied Mathematics, 2021.

8.刘健,赵增勤,四阶脉冲弹性梁方程非平凡弱解的存在数量,数学学报, 2021.

9.刘健,赵增勤,于文广,具非自治微小扰动的脉冲方程三个古典解的存在性,数学学报, 2019.

10.刘健,赵增勤,Cerami条件下脉冲边值问题古典解的存在性,数学学报, 2016.

11. Liu Jian, Generalized solutions for singular double phase elliptic equations under mixed boundary conditions, Nonlinear Analysis: Modelling and Control, 2025.

12.Kefi Khaled, Mohamed Karim Hamdani, Liu Jian, Analysis of solutions for a class of (p1(x),…, pn(x))-Laplacian systems with Hardy potentials, Journal of Elliptic and Parabolic Equations, 2024.

13. Liu Jian,p(x)-biharmonic equations involving (h; r(x))-Hardy singular coefficients with no-flux boundary conditions, Topological Methods in Nonlinear Analysis, 2025.

14. Khaled Kefi, An Qiguang, Liu Jian, Analysis of a nonlinear elliptic system with variable coefficients and Hardy potential with Carathéodory nonlinearity: Existence, Journal of Applied Analysis, 2024.

15. Liu Jian, Khaled Kefi, Mohamed Karim Hamdani, Existence of solutions for singular elliptic equations with mixed boundary conditions, Complex Variables and Elliptic Equations, 2024.

16. Khaled Kefi, Liu Jian, Triple solutions for a Leray-Lions p(x)-biharmonic operator involving Hardy potential and indefinite weight, AIMS Mathematics, 2024.

17.刘健,赵增勤,基于变分方法的奇异脉冲方程弱解的存在性,数学物理学报, 2016.

18. Liu Jian, Zhao Zengqin, Variational approach to second-order damped Hamiltonian systems with impulsive effects, Journal of nonlinear sciences and its applications, 2016.

19. Liu Jian, Zhao Zengqin, Existence of positive solutions to a singular boundary value problem using variational methods, Electronic Journal of Differential Equations, 2014.

20. Liu Jian, Zhao Zengqin, An application of variational methods to second order impulsive differential equation with derivative dependence, Electronic Journal of Differential Equations, 2014.