一、基本情况

郭辉，男，湖南益阳人，博士，讲师，硕士研究生导师。

E-mail： huiguo_math@163.com

二、学习工作经历

2017-6至今， 诸侯快讯ok1133官网诸侯快讯ok1133官网，讲师

2010-9至2017-6，湖南大学，数学与应用数学，硕博连读

2009-7至2010-6，西藏山南地区职业技术学校，教师

2005-9至2009-7，西藏大学, 数学与应用数学，学士

三、主要研究方向

1. 偏微分方程

2. 变分法与临界点理论

四、 主持的科研项目

1. 湖南省自然科学基金：“薛定谔-泊松方程变号解和非径向解的存在性研究”，2020.1-2022.12，项目经费5万元，项目编号：2020JJ5151。

2. 湖南省教育厅项目：“两类非齐次非局部方程无穷多解的存在性研究”，2018.1-2020.12，项目经费1万元，项目编号：18C0293。

五、发表论文

[1] Hui Guo, Dan Wu*. Nodal solutions for the Schrodinger-Poisson equations with convolution terms. Nonlinear Anal., 2020, 196: 111781.(SCI)

[2] Hui Guo*, Nonexistence of least energy nodal solutions for Schrodinger-Poisson equation. Appl. Math. Lett., 2017(68): 135-142. (SCI)

[3] Changfeng Gui, Hui Guo*. On Nodal Solutions of the Nonlinear Choquard Equation. Adv. Nonlinear Stud.,2019, 19(4): 677-691. (SCI)

[4] Changfeng Gui, Hui Guo*. On nodal solutions of a nonlocal Choquard equation in a bounded domain. Commun. Contemp. Math., 2019, 1950067:1-33. (SCI)

[5] Tao Wang*, Hui Guo. Existence and nonexistence of nodal solutions for Choquard type equations with perturbation. J. Math. Anal. Appl., 2019, 480(2), 123438: 1-20.(SCI)

[6] Hui Guo*, Tao Wang. A note on sign-changing solutions for the Schrodinger Poisson system. Electron. Res. Arch., 2020, 28(1): 195-203.

[7] Hui Guo, Tao Wang*. A multiplicity result for a Non-local critical problem. Taiwanese J. Math., 2019, 23(6):1389-1421. (SCI )

[8] Tao Wang, Hui Guo*. Infinitely many solutions for nonhomogeneous Choquard equations. Electron. J. Qual.Theory Differ. Equ., 2019 (24):1-10 (2019). (SCI)

[9] Hui Guo*, Multiple solutions for Brezis-Nirenberg problems with fractional Laplacian[J]. Electron. J. Differential Equations, 2016(153): 1-20. (SCI)

[10] Tao Wang*, Hui Guo. Multiple nodal solutions of quadratic Choquard equations with perturbation. ComplexVar. Elliptic Equ., 2020, 1-15. (DOI:10.1080/17476933.2020.1769083)(SCI)