陈建清

发布者:韩伟发布时间:2014-06-03浏览次数:8106

姓名:陈建清 (jqchen@fjnu.edu.cn)


简介:

男,19745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

 

研究方向:

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:

1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)

2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)

3变分方法与非线性椭圆问题,国家自然科学基金(10501006)2006--2008);

4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 JianqingGuo 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 Applications59 (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 EquationsTopological 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 Studies10 2010),413-432

35.Chen Jianqing,   Best constant of 3D Anisotropic Sobolev inequality and its applicationsComm. Pure and  Applied  Anal.  92010),655-666

34.Chen Jianqing,  On a class of nonlinear inhomogeneous Schrodinger equations,  Journal of Applied Mathematics and Computing,  322010),237-253

33.Guo Boling, Chen Jianqing, Orbital stability of standing wave solution for a quasilinear Schrodinger equation, Quartly of Applied Mathematics, 672009), 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 TMA71 (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 JianqingA variational argument to finding global solutions of a quasilinear Schrodinger equation,  Communications on Pure and  Applied  Analysis  7 200883-88

24.Chen JianqingCompactness property of a singular quasilinear equation,  Advanced  Nonlinear Studies  8 2008, 663-678

23.Chen Jianqing, Guo BolingHan 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.  4642008),49-64

 

22.Chen Jianqing, Multiplicity result for a singular elliptic equation with indefinite nonlinearityJournal 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 BolingSharp global existence and blowing up results for inhomogeneous Schrodinger equationsDiscrete and  Continuous Dynamical System (B)  V. 8 (2007), 357-367

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

18.Chen Jianqing, Guo BolingBlow up solutions for N coupled Schrodinger equationsElectronic Journal of Differential Equations  20072007),No.  611-10;

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 BolingBlow 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  236)(20061359 ;

14.Chen JianqingMultiple 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 JianqingSu Fengqiu, The ``Blow up problem for a quasilinear Schr\{o}dinger equation,  J. Math. Phys. 46 (2005), 073510, 1-10

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

10.Chen JianqingLi 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 JianqingMultiple positive solutions for a semilinear equation with prescribed singularityJ. Math. Anal. Appl., 305 (2005) 140-157

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

7.Chen JianqingExact local behavior of positive solutions for a semilinear elliptic equation with Hardy term,  Proceedings of the Amer. Math. Soc., 1322004),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 ShaoweiLi YongqingOn a quasilinear elliptic eigenvalue problem with constraint, 中国科学1006-9232, 34 (2004), 1-14;  Science in China 1006-928347 2004,No. 4, 523-537.

4. Chen Jianqing,  Existence of solutions for a nonlinear PDE with an inverse square potentialJ. Differential Equations, 195 (2003), 497-519111 (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