郭辉，男，湖南益阳人，博士，讲师，硕士研究生导师。
2017-6至今， 湖南科技大学数学与计算科学学院，讲师
2010-9至2017-6，湖南大学，数学与应用数学，硕博连读
1. 2009-7至2010-6，西藏山南地区职业技术学校，教师
2. 2017-6至今， 湖南科技大学数学与计算科学学院，讲师
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. 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。
[1] Hui Guo*, Ronghua Tang, Tao Wang. Multiple nodal solutions for the Schrodinger-Poisson system with an asymptotically cubic term. Math. Methods Appl. Sci., 2022.
[2] Wang T, Yang YL and Guo H. Multiple nodal solutions of the Kirchhoff-type problem with a cubic term. Advances in Nonlinear Analysis, 2022, 11: 1030-1047.
[3] 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.
[4] Hui Guo, Tao Wang*. Infinitely Many Solutions for the Nonlinear Schrodinger-Poisson System with Broken Symmetry. Adv. Nonlinear Stud., 2021, 21(3):579-592.
[5] Hui Guo, Dan Wu*. Nodal solutions for the Schrödinger-Poisson equations with convolution terms. Nonlinear Anal., 2020, 196: 111781.
[6] Hui Guo*, Tao Wang. A note on sign-changing solutions for the Schrödinger 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.
[8] Hui Guo*. Nonexistence of least energy nodal solutions for Schrödinger-Poisson equation. Appl. Math. Lett.,2017, 68: 135-142.
[9] Hui Guo*. Multiple solutions for Brezis-Nirenberg problems with fractional Laplacian. Electron. J. Differential Equations, 2016, 153: 1-20.
[10] Changfeng Gui, Hui Guo*. On nodal solutions of a nonlocal Choquard equation in a bounded domain. Commun. Contemp. Math., 2019, 1950067:1-33.
[11] Changfeng Gui, Hui Guo*. On Nodal Solutions of the Nonlinear Choquard Equation. Adv. Nonlinear Stud.,2019, 19(4): 677-691.
[12] 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.
[13] Tao Wang, Hui Guo*. Infinitely many solutions for nonhomogeneous Choquard equations. Electron. J. Qual. Theory Differ. Equ., 2019, 24:1-10.
[14] Tao Wang*, Hui Guo. Multiple nodal solutions of quadratic Choquard equations with perturbation. Complex Var. Elliptic Equ., 2021, 66(9): 1565-1579.
[15] 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.
1. 偏微分方程
2. 变分法与临界点理论