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
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 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