个人简介
清华大学数学科学系教授，博士生导师
1997年于北京大学数学学院系获得学士学位
2002年于中科院数学与系统科学研究院获得博士学位
工作履历
2014.01-今 清华大学数学科学系 教授
2009.01-2013.12 清华大学数学科学系 副教授
2007.03-2008.03 德国弗莱堡大学数学系 洪堡学者
2007.02-2008.12 清华大学数学科学系 讲师
2005.01-2006.12 ICTP数学组 博士后
2002.09-2004.07 清华大学数学科学系 博士后
所授课程
2021-2022学期：几何分析，抛物方程
近期论文
查看导师新发文章
（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）
Li, Yuxiang: Moser-Trudinger inequality on compact Riemannian manifolds of dimension two. J. Partial Differential Equations 14 (2001), no. 2, 163-192.
Li, Yuxiang: Extremal functions for the Moser-Trudinger inequalities on compact Riemannian manifolds. Sci. China Ser. A 48 (2005), no. 5, 618-648.
Li, Yuxiang: Liu, Pan A Moser-Trudinger inequality on the boundary of a compact Riemann surface. Math. Z. 250 (2005), no. 2, 363-386.
Li, Jiayu; Li, Yuxiang: Solutions for Toda systems on Riemann surfaces. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 4 (2005), no. 4, 703-728.
Li, Yuxiang: Remarks on the extremal functions for the Moser-Trudinger inequality. Acta Math. Sin. (Engl. Ser.) 22 (2006), no. 2, 545-550.
Li, Yuxiang; Wang, Youde: Bubbling location for F-harmonic maps and inhomogeneous Landau-Lifshitz equations. Comment. Math. Helv. 81 (2006), no. 2, 433-448.
Li, Yuxiang; Liu, Pan; Yang, Yunyan: Moser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2. Calc. Var. Partial Differential Equations 28 (2007), no. 1, 59-83.
Li, Yuxiang: Concentration compactness of Moser functionals on manifolds. Ann. Global Anal. Geom. 32 (2007), no. 1, 15-38.
Li, Yuxiang; Ndiaye, Cheikh Birahim: Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds. J. Geom. Anal. 17 (2007), no. 4, 669-699.
Li, Yuxiang; Ruf, Bernhard: A sharp Trudinger-Moser type inequality for unbounded domains in $\Bbb R^n$. Indiana Univ. Math. J. 57 (2008), no. 1, 451-480.
Kuwert, Ernst; Li, Yuxiang; Schaetzle, Reiner: The large genus limit of the infimum of the Willmore energy. Amer. J. Math. 132 (2010), no. 1, 37-51.
Li, Yuxiang; Wang, Youde: Bubbling location for sequences of approximate $f$-harmonic maps from surfaces. Internat. J. Math. 21 (2010), no. 4, 475-495.
Li, Yuxiang; Wang, Youde: A weak energy identity and the length of necks for a sequence of Sacks-Uhlenbeck $\alpha$-harmonic maps. Adv. Math. 225 (2010), no. 3, 1134-1184.
Kuwert, Ernst; Li, Yuxiang: $W^{2,2}$-conformal immersions of a closed Riemann surface into $\Bbb R^n$. Comm. Anal. Geom. 20 (2012), no. 2, 313-340.
Li, Jiayu; Li, Yuxiang; Liu, Pan: The $Q$-curvature on a 4-dimensional Riemannian manifold $(M,g)$ with $\int_MQdV_g=8\pi^2$. Adv. Math. 231 (2012), no. 3-4, 2194-2223.
Chen, Li; Li, Yuxiang; Wang, Youde: The refined analysis on the convergence behavior of harmonic map sequence from cylinders. J. Geom. Anal. 22 (2012), no. 4, 942-963.
Li, Yuxiang; Luo, Yong; Tang, Hongyan: On the moving frame of a conformal map from 2-disk into $\Bbb{R}^n$. Calc. Var. Partial Differential Equations 46 (2013), no. 1-2, 31-37.
Chen, Jingyi; Li, Yuxiang: Homotopy classes of harmonic maps of the stratified 2-spheres and applications to geometric flows. Adv. Math. 263 (2014), 357-388.
Chen, Jingyi; Li, Yuxiang: Bubble tree of branched conformal immersions and applications to the Willmore functional. Amer. J. Math. 136 (2014), no. 4, 1107-1154.
Li, Yuxiang; Wang, Youde: A counterexample to the energy identity for sequences of $\alpha$-harmonic maps. Pacific J. Math. 274 (2015), no. 1, 107-123.
Kuwert, Ernst; Lamm, Tobias; Li, Yuxiang: Two-dimensional curvature functionals with superquadratic growth. J. Eur. Math. Soc. (JEMS) 17 (2015), no. 12, 3081-3111.
Li, Yuxiang: Some remarks on Willmore surfaces embedded in $\Bbb{R}^3$. J. Geom. Anal. 26 (2016), no. 3, 2411-2424.
Chen, Jingyi; Li, Yuxiang: Radially symmetric solutions to the graphic Willmore surface equation. J. Geom. Anal. 27 (2017), no. 1, 671-688.
Li, Yuxiang; Liu, Lei; Wang, Youde: Blowup behavior of harmonic maps with finite index. Calc. Var. Partial Differential Equations 56 (2017).
Kuwert, Ernst; Li, Yuxiang: Asymptotics of Willmore minimizers with prescribed small isoperimetric ratio. SIAM J. Math. Anal. 50 (2018), no. 4, 4407-4425.
Chen, Jingyi; Li, Yuxiang: Extendability of conformal structures on punctured surfaces. Int. Math. Res. Not. IMRN 2019, no. 12, 3855-3882.
Li, Yuxiang; Zhou, Zhipeng: Conformal metric sequences with integral-bounded scalar curvature. Math. Z. 295 (2020), no. 3-4, 1443-1473.
Li, Yuxiang; Tang, Hongyan: Remark on Gauss curvature equations on punctured disk. Front. Math. China 15 (2020), no. 4, 701–707
京公网安备 11010802027423号