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余篇,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1,2,3,4,5》,《数学分析选讲》,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;指导学生发表科研论文如下:
1. Haining Fan, Yongbin Wang, Lin Zhao*, On a class of Kirchhoff type logarithmic Schr\"{o}dinger equations involving the critical or supercritical Sobolev exponent, J. Math. Phys. (2024). Accepted. (2022级硕士研究生)
2. 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(2024)59-78. (2022级硕士研究生)
3. 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. (2019级本科生)
三、科研
1. 主持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)。
2. 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)。
3. 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)。
4. 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)。
5. 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. H. Fan, Y. Wang, L. Zhao, On a class of Kirchhoff type logarithmic Schr\"{o}dinger equations involving the critical or supercritical Sobolev exponent, J. Math. Phys. (2024). Accepted.
2. H. Fan, X. Liu, Competing potentials effect on positive solutions to a Schr\"{o}dinger-Poisson system, Acta Mathematica Sinica. (2024). Accepted.
3. H. Fan, B. Zhang*, X. Zhu, Multiple positive solutions for a singular Kirchhoff-type problem with convex nonlinearity on unbounded domain, Differential and Integral Equations. 37(2024)59-78.
4. H. Fan, B. Zhang*, Fractional Schr\"{o}dinger equations with logarithmic and critical nonlinearities, Acta Mathematica Sinica. 39(2)(2023)285-325.
5. 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.
6. H. Fan, Z. Feng* and X. Yan, Positive solutions for the fractional Schr\"{o}dinger-Poisson systems involving critical nonlinearities with potential, Differential and Integral Equations. 35(2022)1-56.
7. H. Fan, X. Liu, On the multiplicity and concentration of positive solutions to a Kirchhoff type problem with competing potential, J. Math. Phys. 63(2022)011512.
8. H. Fan, Z. Feng* and Xan, Positive solutions for the fractional Schr\"{o}dinger equations with logarithmic and critical non-linearities, Trans. London Math. Soc. (2021) 8(1) 206–242.
9. C. Lei, T. Zheng, H. Fan∗(通讯作者), Positive solutions for a critical elliptic problem involving singular Nonlinearity, J. Math. Anal. Appl. 498 (2021) 124969.
10. H. Fan, Positive solutions for a Kirchhoff-type problem involving multiple competitive potentials and critical Sobolev exponent, Nonlinear Analysis: Theory, Methods & Applications. 198(2020)111869.
11. H. Fan, Multiple positive solutions for the fractional Schrodinger-Poisson systems involving singular terms,Mediterranean Journal of Mathematics. 17(3)(2020)1-28.
12. H. Fan, Multiple positive solutions for Schrodinger-Poisson systems involving concave-convex nonlinearities, Electronic Journal of differential equations. 86(2019)1-19.
13. H. Fan, Multiple positive solutions for degenerate elliptic equations with singularity and critical cone Sobolev exponents, J. Pseudo-Differ. Oper. Appl. 86(2019)689-709.
14. H. Fan, Existence of ground state solutions for Kirchhoff-type problems involving critical Sobolev exponents, Mathematical Methods in the Applied Sciences. 41(2018)371-385.
15. H. Fan, Multiple positive solutions for fractional elliptic systems involving sign-changing weight, Topological Methods in Nonlinear analysis. 49(2)(2017)757-781.
16. H. Fan, Multiple positive solutions for a fractional elliptic system with critical nonlinearities, Z. Angew. Math. Phys. 67(1)(2016)1-27.
17. H. Fan, Existence and concentration ofground state solutions for a Kirchhoff type problem, Electronic Journal of differential equations. 5(2016)1-18.
18. H. 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.
19. H. Fan, X. Liu, Multiple positive solutions of degenerate nonlocal problems on unbounded domain, Mathematical Methods in the Applied Sciences. 38(7) (2015) 1282-1291.
20. H. Fan, X. Liu, Multiple positive solutions for semi-linear elliptic systems involving sign-changing weight, Mathematical Methods in the Applied Sciences. 38(7) (2015) 1342-1351.
21. H. Fan, X. Liu, Positive and negative solutions for a class of Kirchhoff type problems on unbounded domain, Nonlinear Analysis: Theory, Methods & Applications. 114 (2015) 186-196.
22. H. 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.
23. H. Fan, Multiple solutions for a singular elliptic problem involving Hardy terms on unbounded domains, Differential And Integral Equations. 27(2014)821-836.
24. H. Fan, Multiple positive solutions for a critical elliptic system with concave and convex nonlinearities, Nonlinear Analysis: Real World Applications. 18(2014)14–22.
25. H. Fan, X. Liu, Multiple positive solutions for a class of quasi-linear elliptic equations involving critical Sobolev exponent, Acta Mathematica Scientia.34(2014)1111-1126.
26. H. Fan, X. Liu, Multiple positive solutions to a class of quasi-linear elliptic equations involving critical Sobolev exponent,Monatshefte für Mathematik. 174(2014)427-447.
27. H. Fan, Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities,Electronic Journal of differential equations. 82(2014)1-14.
28. H. Fan, Multiple positive solutions for semi-linear elliptic systems with sign-changing weight, Journal of Mathematical Analysis and Applications. 409(1)(2014)399-408.
29. H. Fan, X. Liu, Existence results for degenerate elliptic equations with critical cone Sobolev exponents, Acta Mathematica Scientia. 34(2014)1907-1921.
30. H. Fan, X. 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.
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