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福建师范大学数学与信息学院导师教师师资介绍简介-陈建清

本站小编 Free考研考试/2021-05-13

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:

“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(**),(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(**)(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. ChenJianqing,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,AnnaliMath. 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 GeneralizedRotation- 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 andAppliedAnal.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 andYue 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 HarmonicPotential,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 andAppliedAnalysis7(2008)83-88;  
24.Chen Jianqing,Compactness property of a singular quasilinear equation,AdvancedNonlinear Studies8(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 Applications337 (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 andContinuous 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 Equations2007(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 Letter23(6)(2006)1359 ;  
14.Chen Jianqing,Multiple positive and sign-changing solutions for a singular Schrodinger equation with critical exponent, Nonlinear Analysis, TMA64 No.3 (2006), 381-400;  
13.Chen Jianqing, Guo Boling; Multiple nodal bound states for a Quasilinear Schrodinger equation,Journal of Mathematical Physics46 (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 asemilinear 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



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