個人簡介
李玉祥 ，安徽人，1972.10生，教授、博士、博士生導師。
主要研究方向：非線性偏微分方程。
教授課程
| 本科生 | 複變函數 | 48學時 | 3學分 |
| 本科生 | 實變函式論 | 48學時 | 3學分 |
| 本科生 | 數學物理方法 | 48學時 | 3學分 |
| 本科生 | 線性代數 | 32學時 | 2學分 |
| 碩士研究生 | 偏微分方程引論 | 54學時 | 3學分 |
| 碩士研究生 | Sobolev空間 | 54學時 | 3學分 |
| 碩士研究生 | 非線性橢圓方程 | 36學時 | 3學分 |
成果獎勵
2006年：東南大學吳健雄袁家騮教學獎 (排名第1位)
科研項目
| 編號 | 項目名稱 | 項目來源 | 時間 |
| 1 | 帶非線性梯度項的拋物型方程的定性研究 （主持） | 國家自然科學基金面上項目 | 2011年 |
| 2 | KPZ 方程解的漸近性質 （主持） | 江蘇省自然科學基金面上項目 | 2010年 |
發表論文
1. Li, Yuxiang. Optimal conditions for a priori estimates for semilinear elliptic systems with two components. Nonlinear Anal. 72 (2010), no. 3-4, 1850–1864,2010
2. Li, Yuxiang; Souplet, Philippe. Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations in planar domains. Comm. Math. Phys. 293 (2010), no. 2, 499–517.,2010
3. Li, Yuxiang. Stabilization towards the steady state for a viscous Hamilton-Jacobi equation. Commun. Pure Appl. Anal. 8 (2009), no. 6, 1917–1924.,2009
4. Fei, Liang; Yuxiang, Li. Blow-up for a nonlocal parabolic equation. Nonlinear Anal. 71 (2009), no. 7-8, 3551–3562,2009
5. Qilin, Liu; Fei, Liang; Li, Yuxiang. Asymptotic behaviour for a non-local parabolic problem. European J. Appl. Math. 20 (2009), no. 3, 247–267,2009
6. Li, Yuxiang. Optimal conditions for $L^\infty$L∞-regularity and a priori estimates for semilinear elliptic systems. J. Math. Anal. Appl. 351 (2009), no. 1, 257–276,2009
7. Wang, Xianchao; Li, Yuxiang. Asymptotical behavior of a nonlocal hyperbolic problem. Far East J. Dyn. Syst. 10 (2008), no. 2, 153–167,2008
8. Liu, Qilin; Li, Yuxiang; Gao, Hongjun. Uniform blow-up rate for a nonlocal degenerate parabolic equations. Nonlinear Anal. 66 (2007), no. 4, 881–889,2007
9. Liu, Qilin; Li, Yuxiang; Gao, Hongjun. Uniform blow-up rate for diffusion equations with nonlocal nonlinear source. Nonlinear Anal. 67 (2007), no. 6, 1947–1957,2007
10. Liu, Qilin; Li, Yuxiang; Gao, Hongjun. Uniform blow-up rate for diffusion equations with localized nonlinear source. J. Math. Anal. Appl. 320 (2006), no. 2, 771–778,2006
11. Liu, Qi Lin; Li, Yu Xiang; Gao, Hong Jun. Blow-up property for a reaction-diffusion system with nonlocal sources. Acta Math. Sinica (Chin. Ser.) 49 (2006), no. 4, 869–882,2006
12. Zou, Xiao Rong; Li, Yao Wen; Li, Yu Xiang. The first eigenvalue $\lambda_{1,p}$λ1,p of the $p$p-Laplace operator. Nihonkai Math. J. 16 (2005), no. 2, 129–133,2005
13. Li, Yuxiang; Wu, Jichun. Extinction for fast diffusion equations with nonlinear sources. Electron. J. Differential Equations 2005, no. 23, 7 pp,2005
14. Li, Yuxiang; Xie, Chunhong. Blow-up for semilinear parabolic equations with nonlinear memory. Z. Angew. Math. Phys. 55 (2004), no. 1, 15–27,2004
15. Li, Yuxiang; Xie, Chunhong. Quasilinear parabolic systems of several components. Math. Ann. 327 (2003), no. 2, 395–407,2003
16. Li, Yuxiang; Liu, Qilin; Xie, Chunhong. Semilinear reaction-diffusion systems of several components. J. Differential Equations 187 (2003), no. 2, 510–519,2003
17. Deng, Weibing; Li, Yuxiang; Xie, Chunhong. Existence and nonexistence of global solutions of some non-local degenerate parabolic systems. Proc. Amer. Math. Soc. 131 (2003), no. 5, 1573–1582,2003
18. Deng, Weibing; Li, Yuxiang; Xie, Chunhong. -up and global existence for a nonlocal degenerate parabolic system. J. Math. Anal. Appl. 277 (2003), no. 1, 199–217,2003
19. Deng, Weibing; Li, Yuxiang; Xie, Chunhong. Existence and nonexistence of global solutions of some nonlocal degenerate parabolic equations. Appl. Math. Lett. 16 (2003), no. 5, 803–808,2003
20. Deng, Weibing; Li, Yuxiang; Xie, Chunhong. Semilinear reaction-diffusion systems with nonlocal sources. Math. Comput. Modelling 37 (2003), no. 9-10, 937–943,2003
21. Deng, Weibing; Yuxiang, Li; Chunhong, Xie. Global existence and nonexistence for a class of degenerate parabolic systems. Nonlinear Anal. 55 (2003), no. 3, 233–244,2003
22. Liu, Qi Lin; Li, Yu Xiang; Xie, Chun Hong. Blow-up of solutions to a degenerate parabolic equation with localized nonlinear reactions. Acta Math. Sinica (Chin. Ser.) 46 (2003), no. 6, 1135–1142,2003
23. Deng, Weibing; Li, Yuxiang; Xie, Chunhong. A nonlinear degenerate parabolic system with non-local source and crosswise-diffusion. Z. Angew. Math. Phys. 54 (2003), no. 3, 503–516,2003
24. Li, Yuxiang; Xie, Chunhong. Blow-up for $p$p-Laplacian parabolic equations. Electron. J. Differential Equations 2003, No. 20, 12 pp,2003
25. Li, Yuxiang; Deng, Weibing; Xie, Chunhong. Global existence and nonexistence from degenerate parabolic systems. Proc. Amer. Math. Soc. 130 (2002), no. 12, 3661–3670,2002
學生培養
| 梁飛 | 2008屆 |
| 汪先超 | 2008屆 |
| 梁金雨 | 2009屆 |
| 秦明方 | 2009屆 |
| 胡艾香 | 2010屆 |
| 馬圓圓 | 2011屆 |
| 馮燕 | 2011屆 |
| 溫學飛 | 2011屆 |
