王桃,女, 山东菏泽人,博士,副教授,湖南科技大学数学与计算科学学院教师。
1、2007年09月~2011年06月,聊城大学数学与应用数学本科生
2、2011年09月~2013年06月,湖南大学应用数学硕士生
3、2013年09月~2016年11月,中南大学应用数学士博士生
2022年1月~迄今,湖南科技大学 数学与计算科学学院 副教授
2016年12月~2021年12月,湖南科技大学 数学与计算科学学院 讲师
高等数学,线性代数,常微分方程,解析几何,数学物理方程,临界点理论,线性算子谱理论
1、主持湖南省自然科学基金青年项目:“非局部Choquard方程解的存在性及其性态研究”。2018.1-2020.12,项目编号:2018JJ3136,已结题。
2、主持国家自然科学基金:扰动型Choquard方程解的存在性及其定性性质研究,2021/01-2023/12,项目编号:12001188,在研。
3、主持湖南省自然科学基金面上项目:非局部Choquard 方程正基态解和变号解的性态研究,2022/01-2024/12,项目编号:2022JJ30235,在研。
发表论文25篇,SCI收录25篇,论文如下:
[1]Tao Wang*, Taishan Yi. Symmetry of separable functions and its applications to Choquard type equations. Calculus of Variations and Partial Differential Equations, 59(1): 1-23 (2020).
[2]Hui Guo, Tao Wang*, Taishan Yi. Uniqueness, symmetry and convergence of positive ground state solutions of the Choquard type equation on a ball.
Journal of Differential Equations, 368: 229-246 (2023).
[3]Tao Wang, Yanling Yang, Hui Guo*. Nodal solutions with a prescribed number of nodes for the Kirchhoff-type problem with an asymptotically cubic term. Advances in Nonlinear Analysis, 12(1): 20220323, pp.23. (2023).(SCI)
[4]Tao Wang, Yanling Yang, Hui Guo*. Multiple nodal solutions of the Kirchhoff type problem with a cubic term. Advances in Nonlinear Analysis, 11(1): 1030-1047 (2022).
[5]Tao Wang, Jing Lai, Hui Guo*. Existence of nodal solutions with arbitrary number of nodes for Kirchhoff type equations. Bulletin of the Malaysian Mathematical Sciences Society, 47 (166):1-26 (2024).
[6]Tao Wang*, Jing Lai, Hui Guo. Multiple nodal solutions for Choquard type equations with an asymptotically linear term. Applicable Analysis, 104(17): 3303-3318 (2025).
[7]Tao Wang*, Hui Guo. Existence and nonexistence of nodal solutions for Choquard type equations with perturbation. Journal of Mathematical Analysis and Applications, 480 (2) 123438, pp.20 (2019).
[8]Tao Wang*, Taishan Yi. Uniqueness of positive solutions of the Choquard type equations. Applicable Analysis, 96(3): 409-417 (2017).
[9]Na Liu, Tao Wang*. Infinitely many nodal solutions for a modified Kirchhoff type equation. Complex Variables and Elliptic Equations, 69 (10): 1739-1762 (2024).
[10]Hui Guo, Ronghua Tang, Tao Wang*. Nodal solutions for the Schr¨odinger-Poisson system with an asymptotically cubic term. Mathematical Methods in the Applied Sciences, 45(16): 9696-9718 (2022).
[11]Hui Guo, Ronghua Tang, Tao Wang*. Infinitely many nodal solutions with a prescribed number of nodes for the Kirchhoff type equations. Journal of Mathematical Analysis and Applications, 505(2):125519 (2022).
[12]Tao Wang*, Hui Guo. Multiple nodal solutions of quadratic Choquard equations with perturbation. Complex Variable and Elliptic equations, 66(9): 1565-1579 (2021).
[13]Yanling Yang, Tao Wang, Hui Guo*. Existence of sign-changing solutions for a gauged nonlinear Schrödinger equation with a quintic term. Journal of Mathematical Analysis and Applications, 520(1):126877, pp. 22 (2023).
[14]Hui Guo*, Tao Wang. Infinitely many solutions for the nonlinear Schrodinger-Poisson system with broken symmetry. Advances Nonlinear Studies, 21(3):579-592 (2021).
[15] Hui Guo, Tao Wang*. A multiplicity result for a non-local critical problem. Taiwanese Journal of Mathematics, 23(6): 1389-1421 (2020).
[16]Tao Wang*. Existence of positive ground state solution for Choquard type equations. Mediterranean Journal of Mathematics, 14(1): 1-15 (2017).
[17]Meiqi Bao, Hui Guo*, Tao Wang. Multi‐bumps solutions for the nonlinear Schrödinger equation under a slowing decaying potential. Mathematical Methods in the Applied Sciences, 47(6), 4430-4448 (2023).
[18]Boling Tang, Hui Guo*, Tao Wang. Positive multi-bump solutions for the Schrödinger equation with slow decaying competing potentials. Journal of Mathematical Analysis and Applications, 543(2), 128904, pp.15 (2025).
[19]Hui Guo, Boling Tang, Tao Wang*. Infinitely many positive nonradial solutions for the Kirchhoff equation. Mathematical Methods in the Applied Sciences, 48(6), 6830–6843 (2025).
[20]Tao Wang*. Existence and nonexistence of nontrivial solutions for Choquard type equations. Electronic Journal of Differential Equations,2016 (3): 1-17 (2016). (SCI)
[21]Tao Wang *. Ground state solutions for Choquard type equations with a singular potential. Electronic Journal of Differential Equations,2017 (52) :1-14 (2017). (SCI)
[22] Tao Wang, Hui Guo*. Infinitely many solutions for nonhomogeneous Choquard equations. Electronic Journal of Qualitative Theory of Differential Equations,2019 (24):1 -10 (2019). (SCI)
[23] Tao Wang *. Asymptotic analysis of multiple solutions for perturbed Choquard equations. Indian Journal of Pure and Applied Mathematics,51(1): 135-142 (2020). (SCI)
[24] Tao Wang *. Global dynamics of a nonlocal delayed differential equation in the half plane. Communications on Pure and Applied Analysis, 13(6): 2475-2492 (2014).(SCI)
[25]He W, Wang T, Zhou Y. Constructing multi-bump solutions for fractional Schrödinger equation with slow decaying potentials: Journal of Pseudo-Differential Operators and Applications, 2026, 17(1): 10. 28pp.
1、偏微分方程
2、动力系统