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 E-mail: cli@colorado.edu Tel:
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Field of Research:Nonlinear
Partial Differential Equations, Calculus of variations, |
PUBLICATIONS
http://www.researcherid.com/rid/A-5275-2008 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 Euler-Lagrange integral system, Rocky Mountain J. of Mathematics,
accepted. Y.
Lei, C.
Li, C. Ma, Decay estimation for positive solution of a
γ-Laplace
equation, Disc. &
Cont. Dynamics Systems, 30(2011), 547-558. C.
Ma, W.
Chen, C. Li, Regularity of Solutions for an Integral System of Wolff
Type, Adv. Math., 226(2011), 2676-2699. 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
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 2-D Doi-Onsager Model,
Nonlinear Analysis, 73(2010), 2410-2425. W.
Chen,
C. Li, Classification of positive solutions for nonlinear differential
and integral systems with critical exponents, Acta Math. Scientia, #4,
29(2009), 949-960. W.
Chen,
C. Li, B. Ou, Positive regular solutions to a singular integral
equation, Int’l. J. of Pure and Applied Math., 52(2009),
583-602. W.
Chen,
C. Li, An integral system and the Lane-Emden conjecture, Disc.
& Cont. Dynamics Sys. #4, 24(2009), 1167-1184. W.
Chen,
C. Li, A sup + inf inequality near $R = 0$, Adv. Math., 220(2009),
219-245. 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 axi-symmetric Navier-Stokes
equations with anisotropic data, Comm.
in
Partial Differential Equations, 33(2008), 1622-1637. W.
Chen,
C. Li, The Best constant in some weighted Hardy-Littlewood-Sobolev
inequality, Proc.
Amer.
Math. Soc., 136 (2008),
955-962. W.
Chen,
C. Li, A priori
estimates for the Nirenberg problem, Disc.
& Cont. Dynamics Sys. S, 2(136), 2008, 225-233. T.
Hou, C.
Li, “Dynamic stability of the 3D axi-symmetric Navier-Stokes
equations with swirl”, Comm.
Pure
Appl. Math.,
61
(2008), no. 5, 661--697. 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. C.
Li,
J. Lim, The singularity analysis of solutions to some systems of
integral equations, Comm. Pure
& Appl. Anal., 6(2), 2007,
453-464. T.
Y. Hou,
C. Li, “On global well-posedness of the Lagrangian averaged
Euler
equations”,
SIAM
J. Math. Analysis, 38(3), 2006, 782-794. C.
Jin, C.
Li, Qualitative analysis of some systems of integral equations, Calc.
Var. Partial Differential Equations, 26(2006), 447-457. W.
Chen,
C. Li, and B. Ou, "Classification of solutions for an integral
equation", Comm.
Pure
Appl. Math.,
#3,
59(2006), 330-343. C.
Jin,
C. Li, Symmetry of solutions to some systems of integral equations,
Proc. Amer. Math. Soc.,
134(2005), 1661-1670. 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. W.
Chen,
C.
Jin, C. Li, Jisun Lim,
Weighted
Hardy-Littlewood-Sobolev inequalities and systems of integral
equations. Disc.
& Cont. Dynamics Sys. Supplement Volume (2005) 164-173. W.
Chen,
C. Li, and E. Wright, On a nonlinear parabolic system modeling chemical
reactions in rivers, Comm.
Pure & Appl. Anal., 4(2005)
889-899. W.
Chen,
C. Li, and B. Ou, “Classification of Solutions for a System
of
Integral Equations”, Comm.
in Partial Differential Equations,
30(2005) 59-65. W.
Chen,
C. Li, Regularity of solutions for a system of integral equations, Comm.
Pure & Appl. Anal., 4(2005), 1-8. T.
Y. Hou,
C. Li, Global well-posedness of the viscous Boussinesq equations,
Disc.
& Cont. Dynamics Sys,
12(2005), 1-12. W.
Chen,
C. Li, and B. Ou, Qualitative properties of solutions for an integral
equation, Disc. &
Cont. Dynamics Sys. 12(2005) 347-354.
W.
Chen,
C. Li, Moving planes, moving spheres, and a priori estimates, J. of
Diff. Equations, 195(2003), 1-13. W.
Chen,
C. Li, Gaussian curvature in negative case, Proc.
Amer. Math. Soc.,
131(2003) 741-744 C.
Li,
E. Wright, Global
existence of solutions to
reaction diffusion system based upon carbonate reaction kinetics, Comm.
Pure & Appl. Anal.,
1(2002) 77-84 W.
Chen,
C. Li, Prescribing scalar curvature on S^n, Pac.
J. Math.,
199(2001) 61-78. C.
Li,
E. Wright, Modeling chemical reactions in rivers: a three component
reaction, Disc. &
Cont. Dynamics Sys. 7(2001)
377-384. W.
Chen,
C. Li, Harmonic maps on complete manifolds, Disc.
& Cont.
Dynamics Sys., 5(1999) 799-804. J.
Bebernes, C. Li, P. Talaga, Single-point blowup for non-local parabolic
problems, Physical D,
134(1999) 48-60. W.
Chen,
C. Li, Some new approaches in prescribing Gaussian and scalar
curvatures, Disc. &
Cont. Dynamics Sys. Supplement
Volume,
1998, 148-159. W.
Chen,
C. Li, Indefinite
elliptic problems with critical exponent, Advances in Nonlinear PDE and
related Areas, World Scientific,
1998, 67-80. W.
Chen,
C. Li,
A
priori
estimates for prescribing scalar curvature equations, Ann.
of Math.,
145(1997) 547-564. J.
Bebernes, C. Li, Y. Li,
Traveling fronts
in cylinders and their stability, Rocky
Mountain J. Math.,
27(1997) 123-150. W.
Chen,
C. Li, Indefinite
elliptic problems in a domain, Disc.
& Cont. Dynamics Sys,
3(1997) 333-340. C.
Li,
Local asymptotic symmetry of singular solutions to nonlinear elliptic
equations, Invent. Math,
123(1996) 221-231. W.
Chen,
C. Li,
A
necessary and sufficient condition for the Nirenberg problem, Comm. Pure
Appl. Math., 48(1995) 657-667. W.
Chen,
C. Li, What
kinds of singular surfaces can admit constant curvature, Duke
Math.
J., 78(1995) 437-451. W.
Chen,
C. Li, A
note
on the Kazdan-Warner type conditions,
J. Diff. Geom., 41(1995)
259-268. W.
Chen,
C. Li, Qualitative
properties of solutions to some nonlinear elliptic equations in R 2, Duke
Math. J., 71(1993) 427-439. W.
Chen,
C. Li, Gaussian
curvature on singular surfaces, J.
Geom. Anal., 3(1993) 315-334. C.
Li,
Y. Li, Nonautonomous
nonlinear scalar field equations in R 2 , J.
Differential Equations,
103(1993) 421-430. W.
Chen,
C. Li,
A
priori
estimates for solutions to some nonlinear elliptic equations in R 2 , Arch.
Rational Mech. Anal., 122(1993)
145-157. W.
Chen,
C. Li,
Prescribing
Gaussian curvatures on surfaces with conical singularities,
J. Geom.
Anal., 1(1991) 359-372. W.
Chen,
C. Li, Classification
of solutions of some nonlinear elliptic equations, Duke
Math. J.,
63(1991) 615-622 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. 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. A.
Greenbaum, Z. Han, C. Li, Comparison of linear system solvers applied
to diffusion-type finite element equations, Numer.
Math.,
56(1989) 529-546. A.
Greenbaum, Z. Han, C. Li, Parallelizing preconditioned conjugate
gradient algorithms, Comput.
Phys. Comm., 53(1989) 295-309. C.
Li,
Global properties of the solutions of nonlinear Schrodinger equations
on a bounded domain, J. System
Sci. Math. Sci., 4(1984) 160-164. |