Welcome to Li Yuxiang's Homepage 
Department of Mathematical Sciences , Tsinghua University, Beijing, 100084, P.R. China 
MY
PAPERS

1  MoserTrudinger inequality on manifold of compact Riemannian of dimesion two. J. Partial Differential Equations, 14: 163192, 2001.  
2  Extremal functions for MoserTrudinger inequality on compact Riemannian manifolds. Sci. China Ser. A 48 (2005), no. 5, 618648. (For a simplication of this paper, one can refer to arXiv.org:math/0506202)  
3  Remarks on the Extremal Functions for the MoserTrudinger Inequality. Acta Math. Sin. 22 (2006), no. 2, 545550.  
4  A MoserTrudinger inequality on the boundary of a compact Riemann surface. Joined with Liu, Pan. Math. Z. 250, no 2, 363386.  
5  Bubbling location for Fharmonic maps and inhomogeneous LandauLifshitz equations. Joined with Wang, Youde. Comment. Math. Helv. 81 (2006), no. 2, 433448.  
6  MoserTrudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2. Joined with Liu, Pan and Yang, Yunyan. Calc. Var. Partial Differential Equations 28 (2007), no.1, 5983.  
7  Solutions for Toda systems on Riemann surfaces. Joined with Li, Jiayu. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 4 (2005), no. 4, 703728.  
8  A sharp TrudingerMoser type inequality for unbounded domains in R^{n}. Joined with Ruf, Bernhard. Indiana Univ. Math. J. 57 (2008), 451480.  
9  Concentration Compactness of Moser Functionals on Manifolds. Ann. Global Anal. Geom. 32 (2007), 1538.  
10  The Qcurvature on a 4dimensional Riemannian manifold (M,g) with ∫_{M}QdV_{g}=8π^{2}. Joined with Li, Jiayu and Liu, Pan. Adv. Math. 231 (2012), no. 34, 21942223..  
11  Extremal functions for MoserTrudinger type inequality on compact closed 4manifolds. Joined with Ndiaye, Cheikh Birahim. J. Geom. Anal. 17 (2007), no. 4, 669699.  
12  A weak energy identity and the length of necks for a SacksUhlenbeck αharmonic map sequence. Joined with Wang, Youde. Adv. Math. 225 (2010), 11341184 .  
13  Approximation of Willmore surfaces. Joined with Kuwert, Ernst and Lamm, Tobias . J. Eur. Math. Soc., to appear.  
14  The large genus limit of the infimum of the Willmore energy. Joined with Kuwert, Ernst and Schätzle, Reiner. Amer. J. Math. 132 (2010), no. 1, 3751.  
15  Bubbling Location for Sequences of Approximate FHarmonic Maps from Surfaces. Joined with Wang, Youde. Internat. J. Math. 21 (2010), no. 4, 475495.  
16  W^{2,2}conformal immersions of a closed Riemann sufrace into R^{n}. Joined with Kuwert, Ernst. Comm. Anal. Geom. 20 (2012), no. 2, 313340.  
17  On the convergence of sequences of conformal maps from 2disk into R^{n}. Joined with Luo, Yong and Tang, Hongyan. Calc. Var. Partial Differential Equations 46 (2013), no. 12, 3137.  
18  The Refined Analysis on the Convergence Behavior of Harmonic Map Sequence from Cylinders. Joined with Chen, Li and Wang, Youde. J. Geom. Anal. 22 (2012), no. 4, 942963..  
19  Weak limit of an immersed surface sequence with bounded Willmore functional. arXiv:1109.1472  
20  Bubble tree of branched conformal immersions and applications to the Willmore functional. Joined with Chen, Jingyi. Amer. J. Math. 136 (2014), no. 4, 11071154.  
21  An example of αharmonic map sequence for which energy identity is not true. Joined with Wang, Youde. Pacific J. Math., Pacific J. Math. 274 (2015), no. 1, 107123.  
22  Homotopy classes of harmonic maps of the stratified 2spheres and applications to geometric flows. Joined with Chen, Jingyi. Adv. Math. 263 (2014), 357388.  
23  Radially symmetric solutions to the graphic Willmore surface equation. Joined with Chen, Jingyi. J. Geom. Anal. 27 (2017), no. 1, 671688.  
24  Some remarks on Willmore surfaces embedded in R^{3}. J. Geom. Anal. 26 (2016), no. 3, 24112424.  
25  Extendability of Conformal structures on punctured surfaces. Joined with Chen, Jingyi. arXiv:1509.08061.  
26  Asymptotics of Willmore minimizers with prescribed small isoperimetric ratio. Joined with Kuwert, Ernst. arXiv:1704.04935  
27  Conformal metric sequences with integralbounded scalar curvature. Joined with Zhou, Zhipeng. arXiv:1706.03919  
28  JohnNirenberg Radius and Collapse in Conformal Geometry. Joined with Zhou, Zhipeng and Wei, Guodong. arXiv:1708.02176  