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王桃

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一、基本情况

王桃,女,汉族,1989年7月出生,山东菏泽人,博士,校聘副教授,湖南科技大学数学与计算科学学院教师。

E-mail: wt_61003@163.com, wt_math@163.com

二、学习工作经历

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

4、2016年12月~迄今,湖南科技大学数学与计算科学学院讲师

三、主要研究方向

1. 偏微分方程

2. 动力系统

四、研究项目

1.主持湖南省自然科学基金“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。

五、发表论文

发表论文11篇,SCI收录11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). (SCI)

(2) Tao Wang*, Taishan Yi. Uniqueness of positive solutions of the Choquard type equations. Applicable Analysis, 96(3): 409-417 (2017). (SCI)

(3) Tao Wang*, Hui Guo. Existence and nonexistence of nodal solutions for Choquard type equations with perturbation.Journal of Mathematical Analysis and Applications, 480(2): 1-20 (2019). (SCI)

(4) Tao Wang*. Existence and nonexistence of nontrivial solutions for Choquard type equations. Electronic Journal of Differential Equations, 2016 (3): 1-17 (2016). (SCI)

(5) Tao Wang*. Existence of positive ground state solution for Choquard type equations. Mediterranean Journal of Mathematics, 14(1): 1-15 (2017). (SCI)

(6) Tao Wang*. Ground state solutions for Choquard type equations with a singular potential. Electronic Journal of Differential Equations, 2017 (52) :1-14 (2017). (SCI)

(7) Hui Guo, Tao Wang*. A multiplicity result for a non-local critical problem. Taiwanese Journal of Mathematics, 23(6): 1389-1421 (2020). (SCI)

(8) 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)

(9) Tao Wang*. Asymptotic analysis of multiple solutions for perturbed Choquard equations. Indian Journal of Pure and Applied Mathematics, 51(1): 135-142 (2020). (SCI)

(10) Tao Wang*, Hui Guo. Multiple nodal solutions of quadratic Choquard equations with perturbation. Complex Variable and Elliptic equations, Doi: /10.1080/17476933.2020.1769083, PP. 1-16.(SCI)

(11) 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)}

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