张文(1986-),中共党员, 博士,副教授,硕士生导师,湖南工商大学湘江青年学者;研究方向是非线性偏微分方程与动力系统,目前主持国家自然科学基金青年项目1项,中国博士后科学基金面上项目1项,湖南省自然科学基金项目1项,湖南省教育厅优秀青年项目1项,校级教学改革项目1项,参与国家自然科学基金项目3项。在《Discrete Contin. Dyn. Sys.》、《Nonlinear Analysis RWA》、《Comm. Pure Appl. Anal.》、《J. Math. Anal. Appl. 》、《 Appl.Math. Comp.》、《 Compu. Math. Appl.》、《Appl. Math. Letter》等国际重要刊物上发表 SCI 学术论文20余篇;美国数学评论《Math. Reviews》评论员,担任 J. Math. Anal. Appl., Appl. Math. Compu., Compu. Math. Appl., Appl. Math. Letter、Math. Meth. Appl.Sci 等多个重要学术期刊的同行审稿人。
科研项目:
1.国家自然科学基金青年项目,11701173,带梯度项的反应扩散系统解的存在性及动力学性态,2018/1-2020/12,在研,主持.
2.中国博士后科学基金面上项目(一等),2018M640758,分数阶椭圆方程组解的多重性及性态研究,2019-2020,在研,主持
3.湖南省自然科学基金青年项目,2017JJ3131,全空间上哈密顿椭圆系统解的存在性与集中性,2017/1-2019/12,在研,主持
4.湖南省教育厅优秀青年项目,18B342, 非线性分数阶Schrodinger方程组解的存在性及性态研究, 2019/1-2021/12,在研,主持。
5.国家自然科学基金面上项目,11571370,几类数学物理方程解的存在性与动力学行为,2016/01-2019/12,在研,参与.
6.国家自然科学基金面上项目, 11471137, 拟线性椭圆型方程解的存在性与集中性, 2015/1-2018/12,结题,参与.
7.国家自然科学基金面上项目, 11471278, Hamilton系统基态解的存在性及稳定性, 2015/1-2018/12,在研,参与.
8. 半线性椭圆型方程解的存在性与集中性的研究,湖南省研究生科研创新项目重点项目(NO:CX2014A003),结题,主持.
主要论文:
[1] Wen Zhang, F. F. Liao, Nontrivial solutions for a class of Hamiltonian elliptic system with gradient term, Applied Mathematics Letters 98 (2019) 81–87
[2] J. Zhang, Wen Zhang*, Existence and decay property of ground state solutions for Hamiltonian elliptic system, Commun.Pure Appl. Anal.,18 (2019) 2433-2455.
[3] Wen Zhang, J. Zhang, X. Tang,Ground state homoclinic orbits for first order Hamiltonian system, Bull. Malays. Math. Sci. Soc.(2019) in press
[4] Wen Zhang, J. Zhang, W. Jiang, Infinitely many solutions for a class of superlinear Dirac–Poisson system, Applied Mathematics Letters 80 (2018) 79–87.
[5] J. Zhang, Wen Zhang*, Semiclassical limits of ground states for Hamiltonian elliptic system with gradient term, Nonlinear Analysis: RWA 40 (2018) 377–402.
[6] J. Zhang, Wen Zhang*, F. Zhao, Existence and exponential decay of ground-state solutions for a nonlinear Dirac equation, Z. Angew. Math. Phys. (2018) 69:11
[7] J. Zhang, Wen Zhang*, X. Tang, Ground state solutions for Hamilton elliptic system with inverse square potential, Discrete Contin. Dyn. Sys. A, 37 (2017) 4565-4583.
[8] Wen Zhang, J. Zhang, Z. M. Luo, Multiple solutions for the fourth-order elliptic equation with vanishing potential, Applied Mathematics Letters 73 (2017) 98–105.
[9] Wen Zhang, J. Zhang, H. Mi, On fractional Schrodinger equation with periodic and asymptotically periodic conditions, Comput. Math.Appl. 74 (2017) 1321–1332
[10] Wen Zhang, X. L. Xie, H. Mi, Ground state solutions for Hamiltonian elliptic system with sign-changing potential, Electronic J. Diffe. Equ. 164 (2017) 1–13.
[11] Wen Zhang, X. Tang, J. Zhang, Z. Luo, Multiplicity and concentration of solutions for fourth order elliptic equations with mixed nonlinearity, Electronic J. Diffe. Equ. 250 (2017)1–15.
[12] Wen Zhang, X.Tang, J.Zhang, Ground state solutions for a diffusion system, Comp. Math. Appl. 69 (2015) 337–346.
[13] Wen Zhang, X.Tang, J. Zhang, Infinitely many radial and non-radial solutions for a fractional Schrodinger equation, Comp. Math.Appl, 71 (2016)737-747.
[14] Wen Zhang, X.Tang, J. Zhang, Infinitely many solutions for fourth-order elliptic equations with general potentials, J. Math. Anal. Appl. 407 (2013) 359-368
[15] Wen Zhang, J. Zhang, F. Zhao, Multiple solutions for asymptotically quadratic andsuperquadratic elliptic system of Hamiltonian type, Appl. Math. Comp., 263 (2015) 36-46.
[16] Wen Zhang, X. Tang, J. Zhang, Sign-changing solutions for fourth order elliptic equations with Kirchhoff-type, Commu.Pure Appl. Anal.,15 (2016) 2161-2177
[17] Wen Zhang, X.Tang, J. Zhang, Infinitely many solutions for fourth-order elliptic equations with sign-changing potential. Taiwan. J. Math. 2014;18:645–659.
[18] Wen Zhang, X.Tang, J. Zhang,Homoclinic orbits for the first-order Hamiltonian system with superquadratic nonlinearity, Taiwan. J. Math. 3 (2015) 673–690.
[19] Wen Zhang, X.Tang, J.Zhang, Stationary solutions for a superlinear Dirac equation, Math. Meth. Appl. Scie., 39(2016) 796-805 .
[20] Wen Zhang, X.Tang, J.Zhang, Existence and concentration of solutions for Schrödinger–Poisson system with steep potential well, Math. Meth. Appl. Science, 39 (2016) 796-805.
[21] Wen Zhang, J. Zhang, X. Xie, On ground states for the Schrodinger Poisson system with periodic potentials, Indian J. Pure Appl. Math. 47 (2016) 449-470
[22] Wen Zhang, X.Tang, J. Zhang, Ground states for a class of asymptotically linear fourth-order elliptic equations, Appl. Anal., 94 (2015) 2168-2174
[23] Wen Zhang, X.Tang, J. Zhang, Infinitely many solutions for elliptic boundary value problems with sign-changing potential, Elec. J. Differ. Equa.,53 (2014) 1-11.
[24] Wen Zhang, X.Tang, J. Zhang, Existence and concentration of solutions for sublinear fourth-order elliptic equations, Electron. J. Diff. Equ.,3 (2015) 1-9.
[25] Wen Zhang, X.Tang, J. Zhang, Multiple solutions for semilinear Schrodinger equations with electromagnetic potential, Electron. J. Diff. Equ., 26 (2016) 1-9.
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