教师姓名：李圆
职 称：讲师
系 所：数学系
主要研究领域：非线性偏微分方程
电子邮件：liyuan5397@163.com
教育背景：
2017.09-2021.12 湖南大学 数学 博士 （导师：桂长峰 教授）
2014.09-2017.06 湘潭大学 数学 硕士 （导师：邓大文 教授）
2010.09-2014.06 湖北民族学院 数学与应用数学 学士
工作经历：
2025.09-至今 yl23411永利官网
2022.03-2025.07 华东师范大学数学科学学院 博士后 （导师：周风 教授）
代表性学术论著：
1. Dai, Wei; Duan, Lixiu; Gui, Changfeng; Li, Yuan Nonradial solutions for the critical quasi-linear Hénon equation involving p-Laplacian in RN. Proc. Lond. Math. Soc. (3) 132 (2026), no. 4, Paper No. e70148, 61 pp.
2. Hu, Xincun; Hu, Yeyao; Li, Yuan; Classification of solutions to a fractional Liouville system in R. Acta Math. Sci. Ser. B (Engl. Ed.) 46 (2026), no. 5, 2307–2328.
3. Zhou, Jianwen; Yang, Puming; Li, Yuan Multiplicity and asymptotic behavior of normalized solutions to p-Kirchhoff equations. Electron. Res. Arch. 34 (2026), no. 8, 5660–5688.
4. Du, Zhuoran; Feng, Zhenping; Hu, Jiaqi; Li, Yuan Classification of solutions to equations involving higher-order fractional Laplacian. Anal. Appl. (Singap.) 23 (2025), no. 8, 1539–1571.
5. Huang, Xia; Li, Yuan; Yang, Hui Super polyharmonic property and asymptotic behavior of solutions to the higher order Hardy-Hénon equation near isolated singularities. J. Geom. Anal. 35 (2025), no. 11, Paper No. 333, 33 pp.
6. Huang, Xia; Li, Yuan; Zhou, Xianmei Symmetry of positive solutions to biharmonic Lane-Emden equation with singular set. Calc. Var. Partial Differential Equations 64 (2025), no. 2, Paper No. 67, 26 pp.
7. Li, Yuan; Ye, Dong Remark on a special class of Finsler p-Laplacian equation. Discrete Contin. Dyn. Syst. Ser. S 18 (2025), no. 2, 499–505.
8. Du, Zhuoran; Feng, Zhenping; Li, Yuan Classification of solutions to several semi-linear polyharmonic equations and fractional equations. J. Geom. Anal. 34 (2024), no. 3, Paper No. 87, 34 pp.
9. Hu, Yeyao; Li, Yuan; Yang, Wen Partial regularity of the fractional Gelfand-Liouville system. Discrete Contin. Dyn. Syst. 43 (2023), no. 7, 2721–2736.
10. Fazly, Mostafa; Li, Yuan Partial regularity for weak solutions of anisotropic Lane-Emden equation. Proc. Amer. Math. Soc. 150 (2022), no. 1, 179–190.
11. Li, Yuan Extremal solution and Liouville theorem for anisotropic elliptic equations. Commun. Pure Appl. Anal. 20 (2021), no. 12, 4063–4082.
12. Fazly, Mostafa; Li, Yuan Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations. Discrete Contin. Dyn. Syst. 41 (2021), no. 9, 4185–4206.
13. Du, Zhuoran; Gui, Changfeng; Jin, Jiaming; Li, Yuan Multiple non-axially solutions to a mean field equation on S2. Anal. Theory Appl. 36 (2020), no. 1, 19–32.
代表性教学科研项目：
1. 2025.01-2027.12各向异性椭圆方程整体解的Liouville定理及分类，国家自然科学基金青年科学基金项目C类，编号：12401132，30万元，主持
2. 2022.11-2024.11 Finsler球面覆盖不等式及Finsler n-Liouville方程整体解的分类，博士后面上项目，编号：2022M721164，8万元，主持
3. 2022.12 上海市“超级博士后”激励计划资助，编号：2022189.
主要学术任职：
担任美国《数学评论》评论员
