范海宁,男,汉族,中共党员,现为中国矿业大学数学学院副教授、硕士生导师。博士毕业于武汉大学,2021年9月-2022年1月为南开大学数学与科学学院访问学者。入选中国矿业大学优秀青年骨干教师,美国数学(Mathematical Reviews)评论员。主要从事偏微分方程、非线性分析领域的相关研究。目前以第一作者发表科研论文30多篇,论文发表在包括Trans. London Math. Soc.,Journal of Mathematical Physics,Z. Angew. Math. Phys,Topological Methods in Nonlinear analysis,Nonlinear Analysis,Proceedings of the Edinburgh Mathematical Society等国际学术期刊以及Acta Mathematica Sinica,Acta Mathematica Scientia,《中国科学:数学》等国内学术期刊上。
一、教学
承担本科生《高等数学A》,《高等数学B》,《高等数学C》,《基础数学实践》,《数学分析选讲》,《工科数学分析》,硕士生《矩阵论》等课程的教学工作。主持校级教改项目1项, 项目名称:基于翻转课堂模式的《基础数学实践》教学的改革与探索(No.2019YB31,项目时间:2019.07-2021.07)。参与校级教改项目3项,第一作者或者通讯作者在省级以上刊物上发表教学法论文3篇。
二、育人
担任大学生数学竞赛辅导教师,指导大学生数学竞赛项目多项;指导校级大学生创新项目多项;担任多名大学生的成长导师,指导学生在省级以上刊物上发表教学法论文2篇;指导2022级硕士研究生(将于2025年6月毕业)1人获国家奖学金,1人已被大连理工大学录取攻读博士,他们目前发表科研论文如下:
[1]. Xiaoxue Zhu, Haining Fan*, The positive solutions for a class of Kirchhoff-type problems with critical Sobolev exponents on a bounded domain, Mathematical Methods in the Applied Sciences, 48, (2025) 4090-4116. 中国数学会Top3期刊(SCI论文)
[2]. Xiaoxue Zhu, Haining Fan*, The sign-changing solutions for a class of Kirchhoff-type problems with critical Sobolev exponents in bounded domains, Zeitchrift fur Angewandte Mathematic und Physik, 75(5), (2024) 162. 中国数学会Top2期刊 (SCI论文)
[3]. Haining Fan, Binlin Zhang*, Xiaoxue Zhu, Multiple positive solutions for a singular Kirchhoff-type problem with convex nonlinearity on unbounded domain, Differential and Integral Equations, 37(1-2), (2024) 59-78. 中国数学会Top3期刊(SCI论文)
[4]. Haining Fan, Yongbin Wang, Lin Zhao*, On a class of Kirchhoff type logarithmic Schr\"{o}dinger equations involving the critical or supercritical Sobolev exponent, Journal of Mathematical Physics, 65(3), (2024) 031509. 中国数学会Top2期刊(SCI论文)
[5]. Yongbin Wang, Haining Fan*, Some existence results for a Kirchho type logarithmic problem in bounded domains, Journal of Partial Differential Equations, Accept, (2025) 1-24. 中国数学会Top2期刊 (SCI论文)
[6]. Yongbin Wang, Haining Fan*, Some existence results for a class of Kirchhoff type logarithmic problems in bounded domains, Acta Mathematicae Applicatae Sinica, English Series, Accept, (2025) 1-26. 中国数学会Top2期刊 (SCI论文)
指导本科生发表科研论文:
[1]. 范海宁, 刘颖, 张彬林*, 一类具有临界指数的对数Schr\"{o}dinger方程基态解的存在性和集中性, 中国科学:数学, 52(2022)1-30.
三、科研(仅列主持项目)
1. 主持中国矿业大学科研基地建设项目:知识与数据驱动的多目标智能优化理论及在矿山能源系统的应用 (No.2024KYJD2007, 2024年-2028年)
2. 主持并完成国家自然科学基金项目:几类Kirchhoff型对数Schrödinger方程位势函数与解关系的研究(No.12101599, 2022年-2024年)。
3. 主持并完成国家博士后科学基金面上项目: 两类Kirchhoff型对数Schrodinger方程正解的研究(No. 2021M703506, 2022年-2023年)。
4. 主持并完成中国矿业大学校科技基金项目: Morse 理论在椭圆方程中的应用(No. 2018QNA35, 2018年-2020年)。
5. 主持并完成江苏省自然科学基金项目:Nehari流形方法在奇异流形上退化型椭圆方程中的应用(No. BK20150168, 2015年-2018年)。
6. 主持并完成中国矿业大学校科技基金项目:Nehari 流形在二阶椭圆方程中的应用(No. 2015QNA45, 2015年-2017年)。
部分代表性论文:
[1].Yongbin Wang, Haining Fan*, Some existence results for a Kirchho type logarithmic problem in bounded domains, Journal of Partial Differential Equations, Accept, (2025) 1-24. 中国数学会Top2期刊 (SCI论文)
[2].Yongbin Wang, Haining Fan*, Some existence results for a class of Kirchhoff type logarithmic problems in bounded domains, Acta Mathematicae Applicatae Sinica, English Series, Accept, (2025) 1-26. 中国数学会Top2期刊 (SCI论文)
[3]. Xiaoxue Zhu, Haining Fan*, The positive solutions for a class of Kirchhoff-type problems with critical Sobolev exponents on a bounded domain, Mathematical Methods in the Applied Sciences, 48, (2025) 4090-4116. 中国数学会Top3期刊(SCI论文)
[4]. Xiaoxue Zhu, Haining Fan*, The sign-changing solutions for a class of Kirchhoff-type problems with critical Sobolev exponents in bounded domains, Zeitchrift fur Angewandte Mathematic und Physik, 75(5), (2024) 162. 中国数学会Top2期刊 (SCI论文)
[5]. Haining Fan, Yongbin Wang, Lin Zhao*, On a class of Kirchhoff type logarithmic Schr\"{o}dinger equations involving the critical or supercritical Sobolev exponent, Journal of Mathematical Physics, 65(3), (2024) 031509. 中国数学会Top2期刊 (SCI论文)
[6].Haining Fan, Xiaochun Liu*, Competing potentials effect on positive solutions to a Schr\"{o}dinger-Poisson system, Acta Mathematica Sinica, English Series, 40(12), (2024) 1-36. 中国数学会Top1期刊 (SCI论文)
[7].Haining Fan, Binlin Zhang*, Xiaoxue Zhu, Multiple positive solutions for a singular Kirchhoff-type problem with convex nonlinearity on unbounded domain, Differential and Integral Equations, 37(1-2), (2024) 59-78. 中国数学会Top3期刊 (SCI论文)
[8]. Haining Fan, Binlin Zhang*, Fractional Schrodinger equations with logarithmic and critical nonlinearities, Acta Mathematica Sinica, English Series, 39(2), (2023) 285-325. 中国数学会Top1期刊 (SCI论文)
[9]. Haining Fan*, Xiaochun Liu, On the multiplicity and concentration of positive solutions to a Kirchhoff type problem with competing potential, Journal of Mathematical Physics, 63(1), (2022) 011512. 中国数学会Top2期刊 (SCI论文)
[10]. Haining Fan, Zhaosheng Feng*, Xingjie Yan, Positive solutions for the fractional Schr\{o}dinger-Poisson systems involving critical nonlinearities with potential, Differential and Integral Equations, 35(1-2), (2022) 1-56. 中国数学会Top3期刊 (SCI论文)
[11]. 范海宁,刘颖,张彬林*,一类具有临界指数的对数Schr\"{o}dinger方程基态解的存在性和集中性, 中国科学:数学. 52(12), (2022) 1377-1406. 中国数学会Top3期刊(北大中文核心论文)
[12]. Haining Fan, Zhaosheng. Feng* and Xingjie Yan, Positive solutions for the fractional Schr\"{o}dinger equations with logarithmic and critical non-linearities, Trans. London Math. Soc. (2021) 8(1) 206–242.
[13]. Chunyu. Lei, Tiantian. Zheng, Haining Fan,∗(通讯作者), Positive solutions for a critical elliptic problem involving singular Nonlinearity, J. Math. Anal. Appl. 498 (2021) 124969. 中国数学会Top3期刊 (SCI论文)
[14]. Haining Fan, Positive solutions for a Kirchhoff-type problem involving multiple competitive potentials and critical Sobolev exponent, Nonlinear Analysis: Theory, Methods & Applications. 198(2020)111869. 中国数学会Top3期刊 (SCI论文)
[15]. Haining Fan, Multiple positive solutions for the fractional Schrodinger-Poisson systems involving singular terms,Mediterranean Journal of Mathematics. 17(3)(2020)1-28. (SCI论文)
[16]. Haining Fan, Multiple positive solutions for Schrodinger-Poisson systems involving concave-convex nonlinearities, Electronic Journal of differential equations. 86(2019)1-19. (SCI论文)
[17]. Haining Fan, Multiple positive solutions for degenerate elliptic equations with singularity and critical cone Sobolev exponents, J. Pseudo-Differ. Oper. Appl. 86(2019)689-709. (SCI论文)
[18]. Haining Fan, Existence of ground state solutions for Kirchhoff-type problems involving critical Sobolev exponents, Mathematical Methods in the Applied Sciences. 41(2018)371-385. 中国数学会Top3期刊 (SCI论文)
[19]. Haining Fan, Multiple positive solutions for fractional elliptic systems involving sign-changing weight, Topological Methods in Nonlinear analysis. 49(2)(2017)757-781. 中国数学会Top3期刊 (SCI论文)
[20]. Haining Fan, Multiple positive solutions for a fractional elliptic system with critical nonlinearities, Z. Angew. Math. Phys. 67(1)(2016)1-27. 中国数学会Top2期刊 (SCI论文)
[21]. Haining Fan, Existence and concentration of ground state solutions for a Kirchhoff type problem, Electronic Journal of differential equations. 5(2016)1-18. (SCI论文)
[22]. Haining Fan, Multiple positive solutions for a class of Kirchhoff type problems involving critical Sobolev exponents, Journal of Mathematical Analysis and Applications. 431 (2015) 150-168. 中国数学会Top3期刊 (SCI论文)
[23]. Haining Fan, Xiaochun. Liu, Multiple positive solutions of degenerate nonlocal problems on unbounded domain, Mathematical Methods in the Applied Sciences. 38(7) (2015) 1282-1291. 中国数学会Top3期刊 (SCI论文)
[24]. Haining Fan, Xiaochun. Liu, Multiple positive solutions for semi-linear elliptic systems involving sign-changing weight, Mathematical Methods in the Applied Sciences. 38(7) (2015) 1342-1351. 中国数学会Top3期刊 (SCI论文)
[25]. Haining Fan, Xiaochun. Liu, Positive and negative solutions for a class of Kirchhoff type problems on unbounded domain, Nonlinear Analysis: Theory, Methods & Applications. 114 (2015) 186-196. 中国数学会Top3期刊 (SCI论文)
[26]. Haining Fan, Existence theorems for a class of edge degenerate elliptic equations on singular manifolds, Proceedings of the Edinburgh Mathematical Society. 58(2)(2015)355-377. 中国数学会Top3期刊 (SCI论文)
[27]. Haining Fan, Multiple solutions for a singular elliptic problem involving Hardy terms on unbounded domains, Differential And Integral Equations. 27(2014)821-836. 中国数学会Top3期刊 (SCI论文)
[28]. Haining Fan, Multiple positive solutions for a critical elliptic system with concave and convex nonlinearities, Nonlinear Analysis: Real World Applications. 18(2014)14–22. 中国数学会Top3期刊 (SCI论文)
[29]. Haining Fan, Xiaochun. Liu, Multiple positive solutions for a class of quasi-linear elliptic equations involving critical Sobolev exponent, Acta Mathematica Scientia.34(2014)1111-1126. 中国数学会Top1期刊 (SCI论文)
[30]. Haining Fan, Xiaochun. Liu, Multiple positive solutions to a class of quasi-linear elliptic equations involving critical Sobolev exponent,Monatshefte für Mathematik. 174(2014)427-447. 中国数学会Top3期刊 (SCI论文)
[31]. Haining Fan, Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities,Electronic Journal of differential equations. 82(2014)1-14. (SCI论文)
[32]. Haining Fan, Multiple positive solutions for semi-linear elliptic systems with sign-changing weight, Journal of Mathematical Analysis and Applications. 409(1)(2014)399-408. 中国数学会Top3期刊 (SCI论文)
[33]. Haining Fan, Xiaochun. Liu, Existence results for degenerate elliptic equations with critical cone Sobolev exponents, Acta Mathematica Scientia. 34(2014)1907-1921. 中国数学会Top1期刊 (SCI论文)
[34]. Haining Fan, Xiaochun. Liu, Multiple positive solutions for degenerate elliptic equations with critical cone Sobolev Exponents on singular manifolds, Electronic Journal of differential equations. 181(2013)1-22. (SCI论文)
四、联系方式
Email: fanhaining888@163.com QQ:1055703993
通讯地址:江苏徐州中国矿业大学(南湖校区)数学学院B307-2.
邮政编码:221116