上海交通大学数学科学学院

教师 FACULTY

师资队伍

FACULTY

李从明 Congming Li

教授 Professor

办公室 Office：

6 号楼 809

办公接待时间 Office Hour：

办公室电话 Office Phone：

54740237

E-mail：

congming.li at sjtu.edu.cn

教育背景 Education：

博士，1989，纽约大学

Ph.D., 1989, 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

1985-1989    库朗数学科学研究所，纽约大学    Courant Institute, New York University
                     博士，导师：Louis Nirenberg    Ph.D. in Mathematics, Thesis Adviser: Louis Nirenberg
1982-1984    中国科学院系统科学研究所    Institute of System Sciences, CAS,
                     硕士，导师：丁夏畦              M.S. in Mathematics, Thesis Adviser: Xiaqi Ding
1978-1982    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

2018-Present    上海交通大学    Shanghai Jiao Tong University
                          讲席教授          Chair Professor
1992-2018        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
2006-2007        加州大学河滨分校    University of California at Riverside
                          教授                        Professor
1991-1992        普林斯顿高等研究院    Institute for Advanced Study, Princeton
                          博士后                        Visiting member
1989-1991        宾夕法尼亚大学    University of Pennsylvania, Philadelphia
　　　　　　　　博士后　　　　　Instructor　

PROFESSIONAL MEMBERSHIP & HONOR

BOARD OF EDITORS

PUBLICATIONS

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

http://www.ams.org/mathscinet/mrcit/individ==ual.html?mrauthid=259914&seeall

http://scholar.google.com/citations?user=jufXPJYAAAAJ&hl=en

Recent Publications

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

2. 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

3. 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

4. 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

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

6. 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

7. 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

8. 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

9. 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

10. 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:10.1080/03605302.2016.1190376

11. 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

12. 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

13. 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

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

15. 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

16. 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

17. 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

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