Links

Publications

  • Y. Lei, C. Li, C. Ma: Asymptotic radial symmetry and growth estimates of positive solutions to the weighted HLS system,听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 纬-Laplace equation,听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,听颁.听听尝颈,听Z. Shi,听S. Wang,听X. Yu, On singularity formation of a one-dimensional model for incompressible flows,听Arch. Rational Mech. Anal. 199 (2011) 117鈥�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鈥檒. J. of Pure and Applied Math., 52(2009), 583-602.
  • W. Chen, C. Li, An integral system and the Lane-Emden conjecture,听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,听SIAM聽J. Math. Analysis锛屄�#3, 40(2008), 1049-1057.
  • T. Hou, Z. Lei, C. Li, Global regularity of the 3D axi-symmetric Navier-Stokes equations with anisotropic data,听Comm. in Partial Differential Equations, 33(2008), 1622-1637.
  • W. Chen, C. Li, The Best constant in some weighted Hardy-Littlewood-Sobolev inequality,Proc.聽Amer. Math. Soc.,听136聽(2008), 955-962.
  • W. Chen, C. Li, A聽priori estimates for the Nirenberg problem,听Disc. & Cont. Dynamics Sys. S, 2(136), 2008, 225-233.
  • T. Hou, C. Li, 鈥淒ynamic stability of the 3D axi-symmetric Navier-Stokes equations with swirl鈥�,听Comm.聽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,听SIAM J. of Sci. Comp., 2 (2007), 2096-2114.
  • C. Li, J. Lim, The singularity analysis of solutions to some systems of integral equations,听Comm. Pure & Appl. Anal., 6(2), 2007, 453-464.
  • T. Y. Hou, C. Li, 鈥淥n global well-posedness of the Lagrangian averaged Euler equations鈥�, SIAM J. Math. Analysis, 38(3), 2006, 782-794.聽
  • C. Jin, C. Li, Qualitative analysis of some systems of integral equations,听Calc. Var. Partial Differential Equations, 26(2006), 447-457.
  • W. Chen, C. Li, and B. Ou, "Classification of solutions for an integral equation",听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.聽Chen, C. Jin, C. Li, Jisun Lim,听聽Weighted Hardy-Littlewood-Sobolev inequalities and systems of integral equations.聽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,听Comm. Pure & Appl. Anal.,听4(2005) 889-899.
  • W. Chen, C. Li, and B. Ou, 鈥淐lassification of Solutions for a System of Integral Equations鈥�,听Comm. in Partial Differential Equations, 30(2005) 59-65.
  • W. Chen, C. Li, Regularity of solutions for a system of integral equations,听Comm. Pure & Appl. Anal., 4(2005), 1-8.
  • T. Y. Hou, C. Li, Global well-posedness of the viscous Boussinesq equations,听Disc. & Cont. Dynamics Sys,聽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.聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽
  • 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,听Proc. Amer. Math. Soc., 131(2003) 741-744
  • C. Li,听聽E. Wright, Global existence of solutions to reaction diffusion system based upon carbonate reaction kinetics, Comm.聽Pure & Appl. Anal., 1(2002) 77-84
  • W. Chen, C. Li, Prescribing scalar curvature on S^n,听Pac. J. Math., 199(2001) 61-78.
  • C. Li, E. Wright, Modeling chemical reactions in rivers: a three component reaction,Disc. & Cont. Dynamics Sys.聽7(2001) 377-384.聽
  • W. Chen, C. Li, Harmonic maps on complete manifolds,听Disc. & Cont. Dynamics Sys., 5(1999) 799-804.
  • J. Bebernes, C. Li, P. Talaga, Single-point blowup for non-local parabolic problems,听Physical D,聽134(1999) 48-60.
  • W. Chen, C. Li, Some new approaches in prescribing Gaussian and scalar curvatures,听Disc. & Cont. Dynamics Sys.聽Supplement Volume, 1998, 148-159.
  • W. Chen, C. Li,听Indefinite elliptic problems with critical exponent, Advances in Nonlinear PDE and related Areas,聽World Scientific, 1998, 67-80.聽聽
  • W. Chen, C. Li,听聽A priori estimates for prescribing scalar curvature equations,听Ann. of Math., 145(1997) 547-564.
  • J. Bebernes, C. Li, Y. Li,听聽Traveling fronts in cylinders and their stability,听Rocky Mountain J. Math., 27(1997) 123-150.
  • W. Chen, C. Li,听Indefinite elliptic problems in a domain,听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,听聽A necessary and sufficient condition for the Nirenberg problem, Comm.聽Pure Appl. Math., 48(1995) 657-667.
  • W. Chen, C. Li,听What kinds of singular surfaces can admit constant curvature,听Duke Math. J., 78(1995) 437-451.
  • W. Chen, C. Li,听A note on the Kazdan-Warner type conditions,聽J. Diff. Geom., 41(1995) 259-268.
  • W. Chen, C. Li,听Qualitative properties of solutions to some nonlinear elliptic equations in R 2,听Duke Math. J.,聽71(1993) 427-439.
  • W. Chen, C. Li,听聽Gaussian curvature on singular surfaces,听J. Geom. Anal.,聽3(1993) 315-334.聽
  • C. Li,听聽Y. Li,听聽Nonautonomous nonlinear scalar field equations in R 2 ,听J. Differential Equations, 103(1993) 421-430.
  • W. Chen, C. Li,听聽A priori estimates for solutions to some nonlinear elliptic equations in R 2 ,听Arch. Rational Mech. Anal., 122(1993) 145-157.
  • W. Chen, C. Li,听聽Prescribing Gaussian curvatures on surfaces with conical singularities,聽J. Geom. Anal., 1(1991) 359-372.
  • W. Chen, C. Li,听Classification of solutions of some nonlinear elliptic equations,听Duke Math. J., 63(1991) 615-622
  • C. Li,听聽Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on bounded domains,聽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,聽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,听Numer. Math., 56(1989) 529-546.聽
  • A. Greenbaum, Z. Han, C. Li, Parallelizing preconditioned conjugate gradient algorithms,听Comput. Phys. Comm., 53(1989) 295-309.
  • C. Li, Global properties of the solutions of nonlinear Schrodinger equations on a bounded domain,听J. System Sci. Math. Sci., 4(1984) 160-164.