陈建清

姓名：陈建清 (jqchen@fjnu.edu.cn)

简介：

男，1974年5月生，博士，现任福建师范大学数学与计算机学院教授、博士生导师，被聘为厦门大学的兼职教授、兼职博士生导师

 

主要从事非线性分析及其应用方面的研究，非线性分析中的变分方法及其应用在椭圆问题，非线性发展方程等

主持科研项目：

“变分方法应用中的两类核心问题研究”，国家自然科学基金面上项目（10971026），(2010--2012)　　

“变分方法及其应用中的几个关键问题的研究”, 福建省基金杰出项目， （2009J06001）(2009—2011)　　

“变分方法与非线性椭圆问题”，国家自然科学基金(10501006)（2006--2008）；　　

“临界点理论与非线性问题解的存在性及性质”, 全国博管会科学基金二等奖（2005年度）。

教学：

本科生：数学分析；凸分析; 实变函数；

研究生：非线性泛函分析；极小极大方法

论文：(Papers)

45.  Chen Jianqing, Yongqing Li and Zhiqiang Wang, Stability of standing waves for a class of quasilinear Schrodinger equations, Euro. Jnl of Applied Mathematics 23 (2012), 611-633;

44. Chen Jianqing,  K. Murillo , E.M. Rocha,   Multiplicity result for a class of elliptic equations with singular term, to appear　

43.  Chen Jianqing,  E. M. Rocha,   Existence of stable standing waves and instability of standing waves to a class of quasilinear Schr\"{o}dinger equations with potential,  Dynamics of Partial Differential Equations, 8 (2011)，89-112;　

42. Chen Jianqing，Guo Boling,  Sharp Constants and Inhomogeneous Nonlinear Schrodinger Equation with Unbounded Coefficient,  Annali  Math. Pure Appl.,  190 (2011), 341-354　　

41. Chen Jianqing,  E. M. Rocha,  Positive solutions for elliptic problems with critical nonlinearity and combined singularity,  Mathematica Bohemica, 135(2010), 413-422；　　

40. Chen Jianqing,  On the inhomogeneous nonlinear Schrodinger equation with harmonic potential and unbounded coefficient,   Czechoslovak Mathematical Journal ,  60(2010) ,  715-736;　　

39. Liu Jingkun,  Chen Jianqing,  Sign Changing Solutions and Multiple Solutions of an Elliptic Eigenvalue Problem with Constraints in H^1(R^N),  Computers and Mathematics with Applications，59 (2010),  3005-3013;　　

38. Chen Jianqing,  E. M. Rocha,  Sharp constant for a 2D anisotropic Sobolev inequality with critical nonlinearity,  J. Math. Anal. Appl.  367 (2010), 686-692;　　

37. Chen Jianqing, N. S. Papageorgiou, E. M. Rocha,  Twin Positive Solutions for Singular Nonlinear Elliptic Equations， Topological Methods in Nonlinear Analysis,  35, (2010)， 187-201；　　

36. Chen Jianqing, Yue Liu,  On the Solutions of the Generalized  Rotation- Modified Kadomtsev-Petviashvili Equation,  Advanced Nonlinear Studies，10 （2010），413-432；　　

35. Chen Jianqing,   Best constant of 3D Anisotropic Sobolev inequality and its applications，Comm. Pure and  Applied  Anal.  9（2010），655-666　　

34. Chen Jianqing,  On a class of nonlinear inhomogeneous Schrodinger equations,  Journal of Applied Mathematics and Computing,  32（2010），237-253；　　

33. Guo Boling, Chen Jianqing, Orbital stability of standing wave solution for a quasilinear Schrodinger equation, Quartly of Applied Mathematics, 67（2009）， 781-791；　　

32. Chen Jianqing, Baofeng Feng and  Yue Liu,  On the uniform bound of the solutions to the Kadomtsev-Petviashvili type equation,  Nonlinear Analysis TMA，71 (2009), No. 12,  e2062-e2069；　　

31. Chen Jianqing, Guo Boling, Han Yongqian; Sharp constant in nonlocal inequality and its applications to nonlocal Schrodinger equation with harmonic potential,  Communications in Mathematical Sciences, 7 (2009)，549-570；　　

30. He Huimei, Chen Jianqing,  On the existence of solutions to a class of p-Laplace elliptic equations,  Journal of Inequalities in Pure and Applied Mathematics,  10 （2009）, Art. 59,  8P;　　

29.  Chen Jianqing,  E. M. Rocha,  Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term,  Nonlinear Analysis TMA, 71 (2009), 4739-4750；　　

28.  Chen Jianqing, Guo Boling, Blow-up and instability result for a quasilinear Schrodinger equation,  Applied Mathematical Modelling,  33(2009), 4192-4200； 　　

27.  Chen Jianqing, Guo Boling,  Blow-up profile to the two coupled Schrodinger equations,  Journal of Mathematical Physics, 50, 023505 (2009) 16P;　　

26.  Chen Jianqing, Yue Liu,  Instability of Standing Waves to the Inhomogeneous Nonlinear Schrodinger Equation with Harmonic  Potential,  Illinois Journal of Mathematics, 52 (2008), 1259-1276;　　

25．  Chen Jianqing，A variational argument to finding global solutions of a quasilinear Schrodinger equation,  Communications on Pure and  Applied  Analysis  7 （2008）83-88；　　

24．Chen Jianqing， Compactness property of a singular quasilinear equation,  Advanced  Nonlinear Studies  8 （2008）, 663-678；　　

23．Chen Jianqing, Guo Boling；Han Yongqian, Blow up and instability of solitary wave solutions to a generalized Kadomtsev-Petviashvili equations and two dimensional Benjamin-Ono equations,  Proceedings of the Royal Society(London)  A.  464（2008），49-64； 　　

22．Chen Jianqing, Multiplicity result for a singular elliptic equation with indefinite nonlinearity，Journal of Mathematical Analysis and Applications  337 (2008), 493-504；　　

21．    Chen Jianqing,  Blow up for a quasilinear Schrodinger equation in nonisotropic spaces,  J. Partial Diff. Equa.  20 (2007), 313-321；　　

20．Chen Jianqing, Guo Boling，Sharp global existence and blowing up results for inhomogeneous Schrodinger equations，Discrete and  Continuous Dynamical System (B)  V. 8 (2007), 357-367；　　

19． Chen Jianqing，On a semilinear elliptic equation with singular term and Hardy-Sobolev critical growth,  Mathematische Nachrichten 280 No. 8 (2007) , 838-850；　　

18．Chen Jianqing, Guo Boling，Blow up solutions for N coupled Schrodinger equations，Electronic Journal of Differential Equations  2007（2007），No.  61， 1-10;　　

17．Chen Jianqing, Guo Boling, Strong instability of standing wave for a nonlocal nonlinear Schrodinger equation,  Physica D. 227 (2007), 142-148;  　　

16．Chen Jianqing, Guo Boling， Blow up solutions for one class of system of Peker-Choquard type of Schrodinger equations,  Applied Mathematics and Computation 186 (2007) 83-92;  　　

15．Chen Jianqing, Guo Boling, On finding global smooth solutions of Landau-Lifshitz equations,  Chinese Physics Letter  23（6）（2006）1359 ;　　

14．Chen Jianqing，Multiple positive and sign-changing solutions for a singular Schrodinger equation with critical exponent, Nonlinear Analysis, TMA  64 No.3 (2006), 381-400；　　

13．Chen Jianqing, Guo Boling; Multiple nodal bound states for a Quasilinear Schrodinger equation,  Journal of Mathematical Physics  46 (2005), 123502, 1-11；　　

12．    Guo Boling, Chen Jianqing，Su Fengqiu, The ``Blow up" problem for a quasilinear Schr\"{o}dinger equation,  J. Math. Phys. 46 (2005), 073510, 1-10；　　

11.         Chen, Jianqing，Multiple positive solutions for a class of nonlinear elliptic equation,  J. Math. Anal. Appl.,  295 (2004), 341-354；　　

10．Chen Jianqing，Li Shujie, Li Yongqing, Multiple solutions for a    semilinear equation involving singular potential and critical exponent,  Z. Angew. Math. Phys., Vol. 56, No. 3 (2005), 453-474；　　

9.             Chen Jianqing，Multiple positive solutions for a semilinear equation with prescribed singularity，J. Math. Anal. Appl., 305 (2005) 140-157；　　

8．Chen Jianqing，Some further results on a semilinear equation with concave-convex nonlinearity,  Nonlinear Analysis, TMA., V. 62, No. 1 (2005), 71-87;　　

7．Chen Jianqing，  Exact local behavior of positive solutions for a semilinear elliptic equation with Hardy term,  Proceedings of the Amer. Math. Soc., 132（2004），3225-3229；　　

6．Zhang Zhitao; Chen Jianqing; Li Shujie, Construction of pseudo-gradient vector field and sign-changing multiple solutions involving P-Laplacian, J. Differential Equations, 201 (2004), 287-303；　　

5.  Chen Jianqing; Chen Shaowei；Li Yongqing， On a quasilinear elliptic eigenvalue problem with constraint, 中国科学1006-9232, 34 (2004), 1-14;  Science in China 1006-9283，47 （2004）,No. 4, 523-537.　　

4.  Chen Jianqing,  Existence of solutions for a nonlinear PDE with an inverse square potential，J. Differential Equations, 195 (2003), 497-519；　

  111 (2003), 221-239;　　

2.  Chen Jianqing; Li Shujie,  On multiple solutions of a singular quasilinear equation on unbounded domain,  J. Math. Anal. Appl., 275 (2002), 733-746;　　

1.  Li Yongqing; Chen Jianqing, On a semilinear equation with indefinite linear part,  Nonlinear Analysis, T. M. A., 48 (2002), 399—410