刘健，博士、教授。
邮箱：liujianmath@163.com liujian@sdufe.edu.cn
研究方向：非线性分析和偏微分方程
个人简介：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，教育部学位中心评审专家, 美国《Time Scales Analysis》编委（https://bscipub.com/jtsa/about/editorialTeam）,《Mathematics Letters》编委，山东财经大学基础数学学科带头人，2017年入选山东财经大学青年优秀人才支持计划，沙特阿拉伯北边界大学、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(Highly Cited Papers) 2篇、ESI热点论文(Hot Papers) 2篇，主持完成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，参与完成国家自然科学基金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》、《应用数学学报》、《Applied Mathematics Letters》、《Journal of Nonlinear and Variational Analysis》、《Nonlinear Analysis: Modelling and Control》等发表学术论文57篇，合作者有Khaled Kefi、Mohamed Karim Hamdani、Nguyen Thanh Chung等。
Prof.Dr.Jian Liu
Reviewer for Mathematical Reviews, American Mathematical Society
Peer Review Expert for the Academic Degrees Center of the Ministry of Education, China
Editorial Board Member ofTime Scales Analysis(USA) (https://bscipub.com/jtsa/about/editorialTeam)
Editorial Board Member ofMathematics Letters(USA)
(http://www.mathletters.org/editorial-board)
Academic Leader in Fundamental Mathematics, Shandong University of Finance and Economics
Youth excellent talent of Shandong University of Finance and Economics
Visiting Scholar atNorthern BorderUniversityinSaudi Arabia, and Chinese Academy of Sciences
Ph. D. in Applied Mathematics from Qufu Normal University
E-mails:liujianmath@163.comliujian@sdufe.edu.cn
Research Focus: Nonlinear Analysis and Partial Differential Equations
Publications Include:
• 1 principal literature paper in Philosophy and Social Sciences from Renmin University of China
• 2 ESI Highly Cited Papers
• 2 ESI Hot Papers
Selected publications of recent10years:
1.Liu Jian, Kefi Khaled:Generalized solutions top-Laplacian elliptic equation involving Hardy singularity terms in the whole space,Acta Mathematicae Applicatae Sinica, 2026.
2.Liu Jian, Kefi Khaled:Weak solutions to degenerate p(t)-Laplacian elliptic equations involving (q,r(t)) double phase Hardy terms,Mathematical Modelling and Analysis, 2026.
3.Liu Jian: Analysis of degenerate p-Laplacian elliptic equations involving Hardy terms: Existence and numbers of solutions, Applied Mathematics Letters, 2025.
4.Liu Jian, Kefi Khaled: 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.
5.Liu Jian: p(x)-biharmonic equations involving (h,r(x))-Hardy singular coefficients with no-flux boundary conditions, Topological Methods in Nonlinear Analysis, 2025.
6.Kefi Khaled, Hamdani Mohamed Karim, Liu Jian:Analysis and applications of a nonlinear coupled systemwith a fourth-order Leray–Lions operator involving Hardypotential,Journal of Elliptic and Parabolic Equations, 2025.
7.Kefi Khaled, Hamdani Mohamed Karim, Chung Nguyen Thanh, Liu Jian:Multiple solutions for a class of (p(x), q(x))-biharmonic problems involving Hardy potential and nonlocal sourceterms,Memoirs on Differential Equations and Mathematical Physics, 2025.
8.Liu Jian, Kefi Khaled, Hamdani Mohamed Karim: Existence of solutions for singular elliptic equations with mixed boundary conditions, Complex Variables and Elliptic Equations, 2024.
9.Liu Jian, Zhao Zengqin: Leray-Lions type p(x)-biharmonic equations involving Hardy potentials, Applied Mathematics Letters, 2024.
10.Liu Jian, Zhao Zengqin: Generalized solutions for singular double phase elliptic equations under mixed boundary conditions, Nonlinear Analysis: Modelling and Control, 2024.
11.Kefi Khaled, Liu Jian:Analysis of a nonlinear elliptic system withvariable coefficients and Hardy potential withCarathéodory nonlinearity: Existence,Journal ofAppliedAnalysis, 2024.
12.Kefi Khaled, Hamdani Mohamed Karim, 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, Kefi Khaled, Hamdani Mohamed Karim: Existence of solutions for singular elliptic equations with mixed boundary conditions, Complex Variables and Elliptic Equations, 2024.
14.Kefi Khaled, Liu Jian:Triple solutions for a Leray-Lions p(x)-biharmonic operator involvingHardy potential and indefinite weight, Aims Mathematics, 2024.
15.Liu Jian, Zhao Zengqin:Existence of triple solutions for ellipticequations driven by p-Laplacian-likeoperators with Hardy potential underDirichlet-Neumann boundary conditions,Boundary Value Problems, 2023.
16.Liu Jian, Yu Wenguang: Triple solutions for elliptic Dirichlet problems with a parameter, Results in Applied Mathematics, 2021.
17.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.
18.Liu Jian, Yu Wenguang: Two solutions to superlinear Hamiltonian systems with impulsive effects, Applied Mathematics Letters, 2020.
19.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.
20.Liu Jian, Zhao Zengqin: Multiple solutions to damped Hamiltonian systems with impulsive effects, Applied Mathematics Letters, 2019.
21.Liu Jian, Zhao Zengqin: Multiple solutions for impulsive problems with non-autonomous perturbations, Applied Mathematics Letters, 2017.
22.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.
23.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.
24.Liu Jian, Zhao Zengqin: Variational approach to second-order damped Hamiltonian systems with impulsive effects, Journal of nonlinear sciences and its applications, 2016.
25.Liu Jian, Zhao Zengqin: Existence of positive solutions to a singular boundary value problem using variational methods, Electronic Journal of Differential Equations, 2014.
26.Liu Jian, Zhao Zengqin: Multiple positive solutions for second-order three-point boundary-value problems with sign changing nonlinearities, Electronic Journal of Differential Equations, 2014.
27.Liu Jian, Zhao Zengqin: An application of variational methods to second order impulsive differential equation with derivative dependence, Electronic Journal of Differential Equations, 2014.
