郭辉，男，湖南益阳人，博士，讲师，硕士研究生导师。2017年博士毕业于湖南大学大学应用数学专业偏微分方程方向，随后在湖南科技大学任教，自2023年始在永利总站ylzz55数学与金融学院任教。
一、近年来发表的主要论文
1. Hui Guo, Tao Wang, Taishan Yi. Uniqueness, symmetry and convergence of positive ground state solutions of the Choquard type equation on a ball. J.Differential Equations. 2023,368: 229-246.
2. Wang T, Yang Y, Guo H. Nodal solutions with a prescribed number of nodes for the Kirchhoff-type problem with an asymptotically cubic term[J]. Advances in Nonlinear Analysis, 2023, 12(1): 20220323.
3. Yanling Yang, Tao Wang and Hui Guo. Existence of sign-changing solutions for a gauged nonlinear Schr\"odinger equation with a quintic term. J. Math. Anal. Appl., 2023, In press.
4. Tao Wang, Yanling Yang and Hui Guo. Multiple nodal solutions of the Kirchhoff-type problem with a cubic term. Advances in Nonlinear Analysis, 2022, 11: 1030-1047.
5. Hui Guo, Ronghua Tang, Tao Wang. Multiple nodal solutions for the Schr¨odinger-Poisson system with an asymptotically cubic term. Math. Methods Appl. Sci.2022, 45(16):9696-9718.
6. Hui Guo, Ronghua Tang, Tao Wang. Infinitely many nodal solutions with a prescribed number of nodes for the Kirchhoff type equations. J. Math. Anal. Appl., 2022,505:125519.
7. Hui Guo, Tao Wang. Infinitely Many Solutions for the Nonlinear Schrodinger-Poisson System with Broken Symmetry. Adv. Nonlinear Stud., 2021, 21(3):579-592.
8. Yonghui Tong, Hui Guo, Giovany M. Figueiredo. Ground state sign-changing solutions and infinitely many solutions for fractional logarithmic Schrödinger equations in bounded domains. Electron. J. Qual. Theory Differ. Equ., 2021, 70:1-14.
9. Tao Wang, Hui Guo. Multiple nodal solutions of quadratic Choquard equations with perturbation. Complex Var. Elliptic Equ., 2021, 66(9): 1565-1579.
10. Hui Guo, Dan Wu. Nodal solutions for the Schrödinger-Poisson equations with convolution terms. Nonlinear Anal., 2020, 196: 111781.
11. Hui Guo, Tao Wang. A note on sign-changing solutions for the Schrödinger Poisson system. Electron. Res. Arch., 2020, 28(1): 195-203.
12. Changfeng Gui, Hui Guo. On nodal solutions of a nonlocal Choquard equation in a bounded domain. Commun. Contemp. Math., 2019, 1950067:1-33.
13. Changfeng Gui, Hui Guo. On Nodal Solutions of the Nonlinear Choquard Equation. Adv. Nonlinear Stud.,2019, 19(4): 677-691.
14. 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.
15. Hui Guo, Tao Wang. A multiplicity result for a Non-local critical problem. Taiwanese J. Math., 2019, 23(6):1389-1421.
16. Tao Wang, Hui Guo. Infinitely many solutions for nonhomogeneous Choquard equations. Electron. J. Qual. Theory Differ. Equ., 2019, 24:1-10.
17. Hui Guo. Nonexistence of least energy nodal solutions for Schrödinger-Poisson equation. Appl. Math. Lett.,2017, 68: 135-142.
18. Hui Guo. Multiple solutions for Brezis-Nirenberg problems with fractional Laplacian. Electron. J. Differential Equations, 2016, 153: 1-20.
二、近年来主持的课题
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，项目编号：2020JJ5151。
2. 主持湖南省教育厅优秀青年项目“薛定谔-泊松方程无穷多解的存在性及其性态研究”。2022.10-2025.9，项目编号：22B0484。
3. 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，项目编号：18C0293。
三、近年来指导学生获奖情况
1. 2022年, 指导全国“田家炳杯”全日制教育硕士专业学位研究生学科教学（数学）专业教学技能大赛获三等奖1项。
