Faculty Profile
 
  LI Jiayu
     
Department: School of Mathematics
Mailing Address:
School of Mathematics, University of Science and Technology of China, 96 Jinzhai Rd, Hefei, Anhui, PR China
Postal Code:
230026
Phone:
+86-551-3603065
Fax:
jiayuli@ustc.edu.cn
Homepage:
http://dsxt.ustc.edu.cn/zj_js.asp?zzid=1798
 
       

Research Profile

Prof. LI Jiayu was selected into “Hundred Talents Program” of the Chinese Academy of Sciences and earned "Distinguished Young Scholar" from National Natural Science Foundation of China. He has made significant progress in the field of Geometric Analysis. In the hard research on Compactness and Singularity of Solution to Nonlinear Equations, he researched stable harmonic maps in general conditions, got the singularity formula concerning weak limit and energy concentration set. He proposed and illustrated necessary and sufficient condition for stability of weak limit thus carried the problem one step further. He constructed a new evolution equation to study the existence of the minimal surface and proved Narasimhan-Seshadri、Donaldson、Uhlenbeck-Qiu Chengtong theorem in Non- Compactness situation. He got Chern Number Inequalities in Stable parabolic plexus, which is the base of Moduli space.
 
     
Selected Publications
1) Han, Xiaoli; Li, Jiayu, Symplectic critical surfaces in Kahler surfaces , JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY , 2010 , 12 (2)(2010)
2) Li, Jiayu; Zhu, Xiangrong, Non existence of quasi-harmonic spheres , CAL VAR PDE , 2010 , 37 (3-4)(2010)
3) Li, Jiayu, Variational approach to various nonlinear problems in geometry and physics , FRONTIERS OF MATHEMATICS IN CHINA , 2008 , 3 (2)(2008)
4) Han, Xiaoli; Li, Jiayu, Translating solitons to symplectic and Lagrangian mean curvature flows , INTERNATIONAL JOURNAL OF MATHEMATICS , 2009 , 20 (4)(2009)
5) Li, Jiayu; Wang, Meng, Liouville theorems for self-similar solutions of heat flows , JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY , 2009 , 11 (1)(2009)
6) Hsu, Deliang; Li, Jiayu, On the regularity for stationary harmonic maps , ACTA MATHEMATICA SINICA-ENGLISH SERIES , 2008 , 24 (2)(2008)
7) Lan, Xiaohong; Li, Jiayu, Asymptotic behavior of the Chern-Simons Higgs 6-th theory , COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS , 2007 , 32 (10-12)(2007)
8) Chen, Qun; Jost, Juergen; Li, Jiayu; Wang, Guofang, Dirac-harmonic maps , MATHEMATISCHE ZEITSCHRIFT , 2006 , 254 (2)(2006)
9) Ding, Weiyue; Li, Jiayu; Liu, Qingyue, Evolution of minimal torus in Riemannian manifolds , INVENTIONES MATHEMATICAE , 2006 , 165 (2)(2006)
10) Han, Xiaoli; Li, Jiayu, The mean curvature flow approach to the symplectic isotopy problem , INTERNATIONAL MATHEMATICS RESEARCH NOTICES , 2005 , 26(2005)
11) Li, Jiayu; Li, Yuxiang, Solutions for Toda systems on Riemann surfaces , ANN DE SCU NORMALE SUPERIORE DI PISA , 2005 , 4 (4)(2005)
12) Chen, Jingyi; Li, Jiayu, Quaternionic maps and minimal surfaces , ANN DE SCU NORMALE SUPERIORE DI PISA , 2005 , 4 (3)(2005)
13) Chen, Qun; Jost, Juergen; Li, Jiayu; Wang, Guofang, Regularity theorems and energy identities for Dirac-harmonic maps , MATHEMATISCHE ZEITSCHRIFT , 2005 , 251 (1)(2005)
14) Li, Jiayu; Zhang, Xi, Quaternionic maps between quaternionic Kahler manifolds , MATHEMATISCHE ZEITSCHRIFT , 2005 , 250 (3)(2005)
15) Li, Jiayu; Sheng, Weimin, Deforming metrics with negative curvature by a fully nonlinear flow , CAL VAR PDE , 2005 , 23 (1)(2005)
16) Chen, Jingyi; Li, Jiayu, Singularity of mean curvature flow of Lagrangian submanifolds , INVENTIONES MATHEMATICAE , 2004 , 156 (1)(2004)
17) Guo, Zongming; Li, Jiayu, Partial regularity for weak solutions of semilinear elliptic equations with supercritical exponents , PACIFIC JOURNAL OF MATHEMATICS , 2004 , 214 (1)(2004)
18) Ding, Weiyue; Fan, Huijun; Li, Jiayu, Harmonic Hopf constructions between spheres II , CAL VAR PDE , 2003 , 16 (3)(2003)
19) Ding, Weiyue; Li, Jiayu; Li, Wei, Nonstationary weak limit of a stationary harmonic map sequence , COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS , 2003 , 56 (2)(2003)
20)  Guo, Zongming; Li, Jiayu, The blow up locus of semilinear elliptic equations with supercritical exponents , CAL VAR PDE , 2002 , 15 (2)(2002)
21) Chen, Jingyi; Li, Jiayu; Tian, Gang, Two-dimensional graphs moving by mean curvature flow , ACTA MATHEMATICA SINICA-ENGLISH SERIES , 2002 , 18 (2)(2002)
22) Chen, Jingyi; Li, Jiayu, Mean curvature flow of surface in 4-manifolds , ADVANCES IN MATHEMATICS , 2001 , 163 (2)(2001)
23) Chen, Jingyi; Li, Jiayu, Quaternionic maps between hyperkahler manifolds , JOURNAL OF DIFFERENTIAL GEOMETRY , 2000 , 55 (2)(2000)
24) Ding, Weiyue; Jost, Juergen; Li, Jiayu; Peng, Xiaowei; Wang, Guofang, Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6(th) order potentials , COMMUNICATIONS IN MATHEMATICAL PHYSICS , 2001 , 217 (2)(2001)
25) Li, Jiayu, Narasimhan, MS, A note on Hermitian-Einstein metrics on parabolic stable bundles , ACTA MATHEMATICA SINICA-ENGLISH SERIES , 2001 , 17 (1)(2001)
26) Li, Jiayu, Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kahler manifolds , COMMUNICATIONS IN ANALYSIS AND GEOMETRY , 2000 , 8 (3)(2000)
27) Li, Jiayu; Tian, Gang, The blow-up locus of heat flows for harmonic maps , ACTA MATHEMATICA SINICA-ENGLISH SERIES , 2000 , 16 (1)(2000)
28) Li, Jiayu; Wang, Silei, The heat flow of harmonic maps from noncompact manifolds , CHINESE ANNALS OF MATHEMATICS SERIES B , 2000 , 21 (1)(2000)
29) Li, Jiayu; Wang, Youde, Existence of Hermitian-Einstein metrics on stable Higgs bundles over open Kahler manifolds , INTERNATIONAL JOURNAL OF MATHEMATICS , 1999 , 10 (8)(1999)
30)  Ding, Weiyue; Jost, Juergen; Li, Jiayu; Wang, Guofang, Existence results for mean field equations , ANN DE L INST H POINCARE-ANALYSE NON LINEAR , 1999 , 16 (5)(1999)
31) Li, Jiayu; Wang, Youde, Parabolic stable Higgs bundles over complete noncompact Riemann surfaces , SCIENCE IN CHINA , 1999 , 42 (3)(1999)
32) Ding, Weiyue; Jost, Juergen; Li, Jiayu; Wang, Guofang, Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere , COMMENTARII MATHEMATICI HELVETICI , 1999 , 74 (1)(1999)
33) Li, Jiayu, Hermitian-Einstein metrics on parabolic stable bundles , ACTA MATHEMATICA SINICA-ENGLISH SERIES , 1999 , 15 (1)(1999)
34) Li, Jiayu; Wang, Silei, The heat flows and harmonic maps from complete manifolds into regular balls , BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY , 1998 , 58 (2)(1998)
35) Li, Jiayu; Tian, Gang, A blow-up formula for stationary harmonic maps , INTERNATIONAL MATHEMATICS RESEARCH NOTICES , 1998 , 14(1998)
36) Ding, Weiyue; Jost, Juergen; Li, Jiayu; Wang, Guofang, An analysis of the two-vortex case in the Chern-Simons Higgs model , CAL VAR PDE , 1998 , 7 (1)(1998)
37) Li, Jiayu, Hitchin's self-duality equations on complete Riemannian manifolds , MATHEMATISCHE ANNALEN , 1996 , 306 (3)(1996)
38) Ding, Weiyue; Jost, Jürgen; Li, Jiayu; Wang, Guofang, The differential equation $\Delta u=8\pi-8\pi he\sp u$ on a compact Riemann surface , Asian J. Math. , 1997 , 1(2) (1997)
39) Jost, Juergen; Li, Jiayu, Finite energy and totally geodesic maps from locally symmetric spaces of finite volume , CAL VAR PDE , 1996 , 4 (5)(1996)
40) Chen, Yunmei; Li, Jiayu; Lin, Fang-Hua, Partial regularity for weak heat flows into spheres , COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS , 1995 , 48 (4)(1995)
41) Li, Jiayu; Shao, Xin, On the upper estimates of fundamental solutions of parabolic equations on Riemannian manifolds , CHINESE ANNALS OF MATHEMATICS SERIES B , 1995 , 16 (1)(1995)
42) Li, Jiayu, Heat flows and harmonic maps with a free boundary , MATHEMATISCHE ZEITSCHRIFT , 1994 , 217 (3)(1994)
43) Li, Jiayu, Spectrum of the Laplacian on a complete Riemannian manifold with nonnegative Ricci curvature which possess a pole , JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN , 1994 , 46 (2)(1994)
44) Li, Jiayu, Boundedness of the Riesz potential on a complete manifold with nonnegative Ricci curvature , PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY , 1993 , 118 (4)(1993)
45) Li, Jiayu, On the Harnack inequality for harmonic functions on complete Riemannian manifolds , CHINESE ANNALS OF MATHEMATICS SERIES B , 1993 , 14 (1)(1993)
46) Li, Jiayu, The Heat flows and harmonic maps of complete noncompact Riemannian manifolds , MATHEMATISCHE ZEITSCHRIFT , 1993 , 212 (2)(1993)
47) Li, Jiayu, Gradient estimates and Harnack inequalities for Nonlinear parabolic and nonlinear elliptic equations on Riemannian manifolds , JOURNAL OF FUNCTIONAL ANALYSIS , 1991 , 100 (2)(1991)
48) Li, Jiayu, Gradient estimate for the heat kernel of a complete Riemannian manifold and its applications , JOURNAL OF FUNCTIONAL ANALYSIS , 1991 , 97 (2)(1991)
49) Chen, Jiecheng; Li, Jiayu, A note on eigenvalues , CHINESE SCIENCE BULLETIN , 1990 , 35 (7)(1990)
 
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