Congming LiProfessor of Applied Mathematics, University of Colorado, Boulder, CO University of Colorado at Boulder Department of Applied Mathematics 526 UCB Boulder, CO 80309 USA Email: cli@colorado.edu Tel:

Field of Research:Nonlinear
Partial Differential Equations, Calculus of variations, 
PUBLICATIONS
http://www.researcherid.com/rid/A52752008 http://www.ams.org/mathscinet/mrcit/individual.html?mrauthid=259914&seeall Y.
Lei, C.
Li, C. Ma: Asymptotic radial symmetry and growth estimates of positive
solutions to the weighted HLS system, Calc.
Var. Partial Differential Equations, accepted.
J.
Bebernes, Y. Lei, C. Li, A singularity analysis of positive solutions
to an EulerLagrange integral system, Rocky Mountain J. of Mathematics,
accepted. Y.
Lei, C.
Li, C. Ma, Decay estimation for positive solution of a
γLaplace
equation, Disc. &
Cont. Dynamics Systems, 30(2011), 547558. C.
Ma, W.
Chen, C. Li, Regularity of Solutions for an Integral System of Wolff
Type, Adv. Math., 226(2011), 26762699. T.
Y. Hou, C. Li,
Z. Shi,
S.
Wang, X.
Yu, On singularity formation of a onedimensional
model for incompressible flows, Arch.
Rational Mech. Anal. 199 (2011) 117–144
W.
Chen,
C. Li, Methods on nonlinear elliptic equations. AIMS Book Series on
Differentia Equations. & Dynamics. Systems, 4 (2010). (This is
a
book) W.
Chen,
C. Li, On the stationary solutions of the 2D DoiOnsager Model,
Nonlinear Analysis, 73(2010), 24102425. W.
Chen,
C. Li, Classification of positive solutions for nonlinear differential
and integral systems with critical exponents, Acta Math. Scientia, #4,
29(2009), 949960. W.
Chen,
C. Li, B. Ou, Positive regular solutions to a singular integral
equation, Int’l. J. of Pure and Applied Math., 52(2009),
583602. W.
Chen,
C. Li, An integral system and the LaneEmden conjecture, Disc.
& Cont. Dynamics Sys. #4, 24(2009), 11671184. W.
Chen,
C. Li, A sup + inf inequality near $R = 0$, Adv. Math., 220(2009),
219245. C.
Li, L.
Ma, Uniqueness of positive bound states to Shrodinger systems with
critical exponents, T.
Hou, Z.
Lei, C. Li, Global regularity of the 3D axisymmetric NavierStokes
equations with anisotropic data, Comm.
in
Partial Differential Equations, 33(2008), 16221637. W.
Chen,
C. Li, The Best constant in some weighted HardyLittlewoodSobolev
inequality, Proc.
Amer.
Math. Soc., 136 (2008),
955962. W.
Chen,
C. Li, A priori
estimates for the Nirenberg problem, Disc.
& Cont. Dynamics Sys. S, 2(136), 2008, 225233. T.
Hou, C.
Li, “Dynamic stability of the 3D axisymmetric NavierStokes
equations with swirl”, Comm.
Pure
Appl. Math.,
61
(2008), no. 5, 661697. C.
Jin, X.
Cai, C. Li, Parallel domain decomposition methods for some stochastic
partial differential equations, SIAM
J.
of Sci. Comp., 2 (2007), 20962114. C.
Li,
J. Lim, The singularity analysis of solutions to some systems of
integral equations, Comm. Pure
& Appl. Anal., 6(2), 2007,
453464. T.
Y. Hou,
C. Li, “On global wellposedness of the Lagrangian averaged
Euler
equations”,
SIAM
J. Math. Analysis, 38(3), 2006, 782794. C.
Jin, C.
Li, Qualitative analysis of some systems of integral equations, Calc.
Var. Partial Differential Equations, 26(2006), 447457. W.
Chen,
C. Li, and B. Ou, "Classification of solutions for an integral
equation", Comm.
Pure
Appl. Math.,
#3,
59(2006), 330343. C.
Jin,
C. Li, Symmetry of solutions to some systems of integral equations,
Proc. Amer. Math. Soc.,
134(2005), 16611670. H.
Segur, D. Henderson, J. Carter, J. Hammack, C. Li, D. Pheiff, K. Socha,
Stabilizing the BenjaminFeir instability, J. Fluid Mech., 539(2005)
229271. W.
Chen,
C.
Jin, C. Li, Jisun Lim,
Weighted
HardyLittlewoodSobolev inequalities and systems of integral
equations. Disc.
& Cont. Dynamics Sys. Supplement Volume (2005) 164173. W.
Chen,
C. Li, and E. Wright, On a nonlinear parabolic system modeling chemical
reactions in rivers, Comm.
Pure & Appl. Anal., 4(2005)
889899. W.
Chen,
C. Li, and B. Ou, “Classification of Solutions for a System
of
Integral Equations”, Comm.
in Partial Differential Equations,
30(2005) 5965. W.
Chen,
C. Li, Regularity of solutions for a system of integral equations, Comm.
Pure & Appl. Anal., 4(2005), 18. T.
Y. Hou,
C. Li, Global wellposedness of the viscous Boussinesq equations,
Disc.
& Cont. Dynamics Sys,
12(2005), 112. W.
Chen,
C. Li, and B. Ou, Qualitative properties of solutions for an integral
equation, Disc. &
Cont. Dynamics Sys. 12(2005) 347354.
W.
Chen,
C. Li, Moving planes, moving spheres, and a priori estimates, J. of
Diff. Equations, 195(2003), 113. W.
Chen,
C. Li, Gaussian curvature in negative case, Proc.
Amer. Math. Soc.,
131(2003) 741744 C.
Li,
E. Wright, Global
existence of solutions to
reaction diffusion system based upon carbonate reaction kinetics, Comm.
Pure & Appl. Anal.,
1(2002) 7784 W.
Chen,
C. Li, Prescribing scalar curvature on S^n, Pac.
J. Math.,
199(2001) 6178. C.
Li,
E. Wright, Modeling chemical reactions in rivers: a three component
reaction, Disc. &
Cont. Dynamics Sys. 7(2001)
377384. W.
Chen,
C. Li, Harmonic maps on complete manifolds, Disc.
& Cont.
Dynamics Sys., 5(1999) 799804. J.
Bebernes, C. Li, P. Talaga, Singlepoint blowup for nonlocal parabolic
problems, Physical D,
134(1999) 4860. W.
Chen,
C. Li, Some new approaches in prescribing Gaussian and scalar
curvatures, Disc. &
Cont. Dynamics Sys. Supplement
Volume,
1998, 148159. W.
Chen,
C. Li, Indefinite
elliptic problems with critical exponent, Advances in Nonlinear PDE and
related Areas, World Scientific,
1998, 6780. W.
Chen,
C. Li,
A
priori
estimates for prescribing scalar curvature equations, Ann.
of Math.,
145(1997) 547564. J.
Bebernes, C. Li, Y. Li,
Traveling fronts
in cylinders and their stability, Rocky
Mountain J. Math.,
27(1997) 123150. W.
Chen,
C. Li, Indefinite
elliptic problems in a domain, Disc.
& Cont. Dynamics Sys,
3(1997) 333340. C.
Li,
Local asymptotic symmetry of singular solutions to nonlinear elliptic
equations, Invent. Math,
123(1996) 221231. W.
Chen,
C. Li,
A
necessary and sufficient condition for the Nirenberg problem, Comm. Pure
Appl. Math., 48(1995) 657667. W.
Chen,
C. Li, What
kinds of singular surfaces can admit constant curvature, Duke
Math.
J., 78(1995) 437451. W.
Chen,
C. Li, A
note
on the KazdanWarner type conditions,
J. Diff. Geom., 41(1995)
259268. W.
Chen,
C. Li, Qualitative
properties of solutions to some nonlinear elliptic equations in R 2, Duke
Math. J., 71(1993) 427439. W.
Chen,
C. Li, Gaussian
curvature on singular surfaces, J.
Geom. Anal., 3(1993) 315334. C.
Li,
Y. Li, Nonautonomous
nonlinear scalar field equations in R 2 , J.
Differential Equations,
103(1993) 421430. W.
Chen,
C. Li,
A
priori
estimates for solutions to some nonlinear elliptic equations in R 2 , Arch.
Rational Mech. Anal., 122(1993)
145157. W.
Chen,
C. Li,
Prescribing
Gaussian curvatures on surfaces with conical singularities,
J. Geom.
Anal., 1(1991) 359372. W.
Chen,
C. Li, Classification
of solutions of some nonlinear elliptic equations, Duke
Math. J.,
63(1991) 615622 C.
Li,
Monotonicity and
symmetry of solutions of
fully nonlinear elliptic equations on bounded domains,
Comm. in
Partial Differential Equations,
16(2&3)(1991) 491529. C.
Li,
Monotonicity and symmetry of solutions of fully nonlinear elliptic
equations on unbounded domains,
Comm. in Partial Differential
Equations, 16(4&5)(1991)
585615. A.
Greenbaum, Z. Han, C. Li, Comparison of linear system solvers applied
to diffusiontype finite element equations, Numer.
Math.,
56(1989) 529546. A.
Greenbaum, Z. Han, C. Li, Parallelizing preconditioned conjugate
gradient algorithms, Comput.
Phys. Comm., 53(1989) 295309. C.
Li,
Global properties of the solutions of nonlinear Schrodinger equations
on a bounded domain, J. System
Sci. Math. Sci., 4(1984) 160164. 