刘健,中共党员、博士、教授,1980年出生于山东莒南,美国数学会《数学评论》评论员(Mathematical Reviews Reviewer Number:181248),教育部学位中心评审专家,Mathematics Letters(ISSN:2575-5056)编委,2017年入选山东财经大学青年优秀人才支持计划,北边界大学(Northern Borders University)、 斯法克斯大学(University of Sfax)高级访问学者,中国科学院访问学者,研究方向为非线性分析和偏微分方程,拥有中国人民大学哲学社会科学主文献1篇、ESI高被引论文(HighlyCited Papers)2篇、ESI热点论文(Hot Papers)2篇,主持教育部人文社会科学研究项目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,获得山东省高校科学技术奖3项,指导全国研究生数学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省一等奖5项,获得长城学生工作奖2次,在《数学学报》、《Applied Mathematics Letters》、《Journal of Nonlinear and Variational Analysis》等发表学术论文57篇,合作者有Khaled Kefi教授、Mohamed Karim Hamdani教授、 Nguyen Thanh Chung教授等。
Prof.Dr.Jian Liu
Youth excellent talent of Shandong University of Finance and Economics
Shandong University of Finance and Economics, Jinan, 250014, China
Ph.D.in Applied Mathematics of Qufu Normal University
E-mails (For Academic Communication Only): liujian@sdufe.edu.cn| liujianmath@163.com
Research Fields:
Nonlinear Analysis and Partial Differential Equations(e.g. EllipticEquations)
Selected publications of recent years as corresponding author:
1.Liu Jian: Analysis of degenerate p-Laplacian elliptic equations involving Hardy terms: Existence and numbers of solutions, Applied Mathematics Letters, 2025.
2.Liu Jian, Khaled Kefi: Kirchhoff type p(x)-biharmonic equations involving (h,r(x))-Hardy singular coefficients with no-flux boundary conditions,Journal of Nonlinear and Variational Analysis, 2025.
3.Liu Jian, Khaled Kefi, Mohamed Karim Hamdani: Existence of solutions for singular elliptic equations with mixed boundary conditions, Complex Variables and Elliptic Equations, 2024.
4.Liu Jian, Zhao Zengqin: Leray-Lions type p(x)-biharmonic equations involving Hardy potentials, Applied Mathematics Letters, 2024.
5.Liu Jian: Generalized solutions for singular double phase elliptic equations under mixed boundary conditions, Nonlinear Analysis: Modelling and Control, 2024.
6.Liu Jian, Yu Wenguang: Two solutions to superlinear Hamiltonian systems with impulsive effects, Applied Mathematics Letters, 2020.
7.Liu Jian, Zhao Zengqin: Multiple solutions to damped Hamiltonian systems with impulsive effects, Applied Mathematics Letters, 2019.
8.Liu Jian, Zhao Zengqin: Multiple solutions for impulsive problems with non-autonomous perturbations, Applied Mathematics Letters, 2017.
9.Liu Jian, Yu Wenguang: Triple solutions for elliptic Dirichlet problems with a parameter, Results in Applied Mathematics, 2021.
10.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.
11.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.
12.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.
13.Khaled Kefi, 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.
14.Liu Jian: p(x)-biharmonic equations involving (h; r(x))-Hardy singular coefficients with no-flux boundary conditions, Topological Methods in Nonlinear Analysis, 2025.
15.Khaled Kefi, Liu Jian: Analysis of a nonlinear elliptic system with variable coefficients and Hardy potential with Carathéodory nonlinearity: Existence, Journal of Applied Analysis, 2024.
16.Liu Jian, Khaled Kefi, Mohamed Karim Hamdani: Existence of solutions for singular elliptic equations with mixed boundary conditions, Complex Variables and Elliptic Equations, 2024.
17.Khaled Kefi, Liu Jian: Triple solutions for a Leray-Lions p(x)-biharmonic operator involving Hardy potential and indefinite weight, AIMS Mathematics, 2024.
18.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.
19.Liu Jian, Zhao Zengqin: Variational approach to second-order damped Hamiltonian systems with impulsive effects, Journal of nonlinear sciences and its applications, 2016.
20.Liu Jian, Zhao Zengqin: Existence of positive solutions to a singular boundary value problem using variational methods, Electronic Journal of Differential Equations, 2014.
21.Liu Jian, Zhao Zengqin: An application of variational methods to second order impulsive differential equation with derivative dependence, Electronic Journal of Differential Equations, 2014.