开云网页登录数学科学学院

师资队伍

FACULTY

教师

FACULTY

李从明 Li Congming

教授 Professor

办公室 Office：

6 号楼 809

办公室电话 Office Phone：

54740237

E-mail：

congming.li@sjtu.edu.cn

教育背景 Education：

博士，纽约大学

Ph.D. New York University

研究兴趣 Research Interests：

非线性偏微分方程，几何分析，变分法，流体力学

Nonlinear Partial Differential Equations, Geometric Analysis, Calculus of Variations, Dynamics of Fluids

教育背景/经历　Education

库朗数学开云足球app官方下载安装所，纽约大学 Courant Institute, New York University
博士，导师：Louis Nirenberg Ph.D. in Mathematics, Thesis Adviser: Louis Nirenberg
中国科学院系统开云足球app官方下载安装所 Institute of System Sciences, CAS,
硕士，导师：丁夏畦 M.S. in Mathematics, Thesis Adviser: Xiaqi Ding
中国科学技术大学 University of Science and Technology of China
本科 B.S. in Mathematics

工作经历　Work Experience

开云网页登录 Shanghai Jiao Tong University
讲席教授 Chair Professor
`科罗拉多大学博尔得分校 University of Colorado, Boulder
助理教授，副教授，教授 Assistant, Associate, and Professor
加州大学河滨分校 University of California at Riverside
教授 Professor
普林斯顿高等研究院 Institute for Advanced Study, Princeton
博士后 Visiting member
宾夕法尼亚大学 University of Pennsylvania, Philadelphia
　　　　　　　　博士后　　　　　Instructor　

PROFESSIONAL MEMBERSHIP & HONOR

BOARD OF EDITORS

PUBLICATIONS

https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=259914

http://www.researcherid.com/rid/A-5275-2008

Publications

1.C. Li, C. Liu, Z. Wu and H. Xu, Non-negative solutions to fractional Laplace equations with isolated singularity.Adv. Math.373(2020)https://doi.org/10.1016/j.aim.2020.107329

2.W. Chen, C. Li and S. Qi, A Hopf lemma and regularity for fractionalp-Laplacians.Discrete Contin. Dyn. Syst.40 (2020),no. 6,3235–3252,doi:10.3934/dcds.2020034

3.W. Chen, C. Li, J. Zhu, Fractional equations with indefinite nonlinearities, Disc. Cont. Dyn. Syst. 39(2019), p1257-1268,doi:10.3934/dcds.2019054

4.C. Li and W. Chen, A Hopf type lemma for fractional equations,Proc. Amer. Math. Soc.147 (2019),no. 4,1565–1575,DOI: https://doi.org/10.1090/proc/14342

5.C. Li, Z. Wu and H. Xu, Maximum principles and Bocher type theorems,P. Natl. Acad. Sci. USA, 27(115), 2018, p6976-6979,DOI: https://doi.org/10.1073/pnas.1804225115

6.C. Li and Z. Wu, Radial symmetry for systems of fractional Laplacian, Acta Mathematica Scientia,5,38(2018), p1567-1582,doi.org/10.1016/S0252-9602(18)30832-4

7.W. Chen and C. Li, Maximum principles for the fractional p-Laplacian and symmetry of solutions, Adv. Math. 335(2018), p735-758,Doi.org/10.1016/l.aim.2018.07.016

8.W. Chen, C. Li, G. Li, Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions, Calculus of Variations and Partial Differential Equations, 2(56), 2017, 18pages.DOI 10.1007/s00526-017-1110-3

9.T. Cheng, G. Huang, C. Li, the maximum principles for fractional Laplacian equations and their applications, Comm. Contemporary Math., 6, 19(2017).DOI:http://dx.doi.org/10.1142/S0219199717500183

10.W. Chen, C. Li, Y. Li, A direct method of moving planes for the fractional Laplacian, Adv. Math. 308(2017), 404-437.DOI:http://dx.doi.org/10.1016/j.aim.2016.11.038

11.Z. Cheng, G. Huang, C. Li, On the Hardy-Littlewood-Sobolev type systems, Comm. Pure & Appl. Anal. 6, 15(2016), 2059-2074.DOI:10.3934/cpaa.2016027

12.C. Li and J. Villavert, Existence of positive solutions to semilinear elliptic systems with supercritical growth, Comm. in Partial Differential Equations, 7, 41(2016), 1029-1039.DOI: http://dx.doi.org/10.1080/03605302.2016.1190376

13.L. Zhang, C. Li, W. Chen, T. Cheng, A Liouville theorem for $α$-harmonic functions in $R^n_+$. Disc. & Cont. Dynamics Systems, 3, 36(2016), 1721-1736.DOI:10.3934/dcds.2016.36.1721

14.W. Chen, C. Li, and Y. Li, A direct blowing-up and rescaling argument on nonlocal elliptical equations, International J. of Math., 8, 27(2016).DOI: 10.1142/S0129167X16500646

15.Y. Lei, C. Li, A sharp criteria of Liouville type for some nonlinear systems, Disc. & Cont. Dynamics Systems, 6, 36(2016),DOI:http://dx.doi.org/10.3934/dcds.2016.36.xx

16.C. Li and J. Villavert, A degree theory framework for semilinear elliptic systems, Proc. Amer. Math. Society, 9, 144(2016), 3731-3740DOI: https://doi.org/10.1090/proc/13166

17.G. Huang and C. Li, A Liouville theorem for high order degenerate elliptic equations, J. Diff. Equations, 258(2015), 1229-1251.DOI:10.1016/j.jde.2014.10.017

18.Z. Cheng and C. Li, Shooting method with sign-changing nonlinearity, nonlinear analysis: theory, methods & applications, 114(2015), 2-12.DOI:10.1016/j.na.2014.10.019

19.G. Huang, C. Li, and X. Yin, Existence of the extremal functions for the discrete Hardy-Littlewood-Sobolev Inequality,Disc. & Cont. Dynamics Systems, 3, 35(2015), p935-942.DOI:10.3934/dcds.2015.35.935

20.Z. Cheng and C. Li, An extended discrete Hardy-Littlewood-Sobolev inequality, Disc. Cont. Dynamics Sys. 34(2014), 1951-1959.DOI:10.3934/dcds.2014.34.1951

21.C. Deng and C. Li, Endpoint bilinear estimates and applications to the 2-dimensional Poisson-Nernst-Planck system, Nonlinearity, 26(2013), 2993-3009;DOI:10.1088/0951-7715/26/11/2993

22.W. Chen, Y. Fang, C. Li, Super poly-harmonic property of solutions for Navier boundary problems on a half space, Journal of Functional Analysis 265 (2013), 1522-1555.DOI:10.1016/j.jfa.2013.06.010

23.W. Chen and C. Li, Super polyharmonic property of solutions for PDE systems and its applications, Comm. Pure & Appl. Anal. 12(2013), 497-2514.DOI:10.3934/cpaa.2013.12.2497

24.W.Chen,C. Li, Method of moving planes in integral forms and regularity lifting.Recent developments in geometry and analysis,Adv. Lect. Math. (ALM), 23,Int. Press, Somerville, MA,2012.35R11 (35-02 45G15), 27-62.

25.Y. Lei, C. Li, and C. Ma, Asymptotic radial symmetry and growth estimates of positive solutions to the weighted HLS system, Calc. Var. of Partial Differential Equations, 45(2012), 43-61.DOI:10.1007/s00526-011-0450-7

26.Y. Lei and C. Li, Integrability and asymptotics of positive solutions of a γ-Laplace system, J. Differential Equations, 252(2012), 2739-2758.DOI:10.1016/j.jde.2011.10.009

27.C. Li, J. Villavert, An extension of Hardy-Littlewood-Polya inequality, Acta Math. Scientia, 31(2011), 1-4.DOI:10.1016/S0252-9602(11)60400-1

28.J. Bebernes, Y. Lei, C. Li, A singularity analysis of positive solutions to an Euler-Lagrange integral system, Rocky Mountain J. of Mathematics, 41(2011),387-410.DOI:10.1216/RMJ-2011-41-2-387

29.W. Chen, C. Li, Radial symmetry of solutions for some integral systems of Wolff type, Disc. Cont. Dynamics Sys. 30 (2011), 1083-1093.DOI:10.3934/dcds.2011.30.1083

30.Y. Lei, C. Li, C. Ma, Decay estimation for positive solution of a γ-Laplace equation,Disc. & Cont. Dynamics Systems, 30(2011), 547-558.DOI:10.3934/dcds.2011.30.547

31.C. Ma, W. Chen, C. Li, Regularity of Solutions for an Integral System of Wolff Type, Adv. Math., 226(2011), 2676-2699.DOI:10.1016/j.aim.2010.07.020

32.T. Y. Hou,C. Li,Z. Shi,S. Wang,X. Yu, On singularity formation of a one-dimensional model for incompressible flows,Arch. Rational Mech. Anal. 199 (2011) 117–144.DOI:10.1007/s00205-010-0319-5

Older Publications

1. W. Chen, Y. Fang, C. Li, Super poly-harmonic property of solutions for Navier boundary problems on a half space, Journal of Functional Analysis 265 (2013), 1522-1555.DOI:10.1016/j.jfa.2013.06.010

2. W. Chen, C. Li, Method of moving planes in integral forms and regularity lifting. Recent developments in geometry and analysis, Adv. Lect. Math. (ALM), 23, Int. Press, Somerville, MA, 2012. 35R11 (35-02 45G15), 27-62.

3. C. Ma, W. Chen, C. Li, Regularity of Solutions for an Integral System of Wolff Type, Adv. Math., 226(2011), 2676-2699. DOI:10.1016/j.aim.2010.07.020

4. T. Y. Hou, C. Li, Z. Shi, S. Wang, X. Yu, On singularity formation of a one-dimensional model for incompressible flows, Arch. Rational Mech. Anal. 199 (2011) 117–144.DOI:10.1007/s00205-010-0319-5

5. W. Chen, C. Li, Classification of positive solutions for nonlinear differential and integral systems with critical exponents, Acta Math. Sci. #4, 29(2009), 949-960.DOI:10.1016/S0252-9602(09)60079-5

6. C. Li, L. Ma, Uniqueness of positive bound states to Shrodinger systems with critical exponents, SIAM J. Math. Analysis, #3, 40(2008), 1049-1057.DOI:10.1137/080712301

7. T. Hou, C. Li, “Dynamic stability of the 3D axisymmetric Navier-Stokes equations with swirl”, Comm. Pure Appl. Math., 61 (2008), no. 5, 661--697. DOI:10.1002/cpa.20212

8. C. Jin, X. Cai, C. Li, Parallel domain decomposition methods for some stochastic partial differential equations, SIAM J. of Sci. Comp., 2 (2007), 2096-2114.DOI:10.1137/060662381

9. T. Y. Hou, C. Li, “On global well-posedness of the Lagrangian averaged Euler equations”, SIAM J. Math. Analysis, 38(3), 2006, 782-794. DOI:10.1137/050625783

10. W. Chen, C. Li, and B. Ou, "Classification of solutions for an integral equation", Comm. Pure Appl. Math., #3, 59(2006), 330-343.DOI:10.1002/cpa.20116

11. H. Segur, D. Henderson, J. Carter, J. Hammack, C. Li, D. Pheiff, K. Socha, Stabilizing the Benjamin-Feir instability, J. Fluid Mech., 539(2005) 229-271. DOI:10.1017/S002211200500563X

12. W. Chen, C. Li, A priori estimates for prescribing scalar curvature equations, Ann. of Math., 145(1997) 547-564.

13. C. Li, Local asymptotic symmetry of singular solutions to nonlinear elliptic equations, Invent. Math, 123(1996) 221-231.

14. W. Chen, C. Li, A necessary and sufficient condition for the Nirenberg problem, Comm. Pure Appl. Math., 48(1995) 657-667. DOI:10.1002/cpa.3160480606

15. W. Chen, C. Li, What kinds of singular surfaces can admit constant curvature, Duke Math. J., 78(1995) 437-451.DOI:10.1215/S0012-7094-95-07821-1

16. W. Chen, C. Li, Qualitative properties of solutions to some nonlinear elliptic equations in R^2, Duke Math. J., 71(1993) 427-439.DOI:10.1215/S0012-7094-93-07117-7

17. C. Li, Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on bounded domains, Comm. in Partial Differential Equations, 16(2&3)(1991) 491-529. DOI:10.1080/03605309108820766

18. C. Li, Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains, Comm. in Partial Differential Equations, 16(4&5)(1991) 585-615. DOI:10.1080/03605309108820770