1994.9-1998.6 湘潭师范学院数学系获学士学位
2001.9-2004.6 复旦大学数学研究所获硕士学位
2007.9-2010.12 湖南大学数学与计量经济学院获博士学位
2015.1-现在,湖南大学数学与计量经济学院 副教授
2004.9-2014.12,湖南大学数学与计量经济学院 讲师
2013.1-2013.3,香港中文大学 学术访问
2013.8-2014.8,美国乔治华盛顿大学 学术访问
本科生课程: 偏微分方程,微分几何, 微积分, 线性代数, 概率论与数理统计
研究生课程: 线性偏微分方程,非线性偏微分方程,Sobolev空间,二阶椭圆偏微分方程
1.国家自然基金项目:“黎曼流形上非齐次Allen-Cahn方程聚集层解的存在性及共鸣现象的研究”(主持)2012-2014,批准号:11101134
2.国家自然基金项目:"泛函微分方程分岔理论与应用研究”(参与)2010-2012,批准号:10971057
3.国家自然基金项目:“一些偏微分方程和方程组的定性研究”(参与)2014-2017,批准号:11371128
在国际权威期刊Journal of Differential Equations, Calculus of Variations and Partial Differential Equations等发表论文十多篇。
1. (with Jinhai Yan) Exact controllability for wave equations with an equivalued boundary on an shrinking “hole”. Asymptot. Anal, 2004, 40: 287-302
2. Limit behaviour of solutions to linear hyperbolic equations with an equivalued boundary on a small “hole” in R^n. Houston J Math, 2010, 36(2): 637-652
3. (with Changfeng Gui) Interior layers for an inhomogeneous Allen-Cahn equation. J. Diff. Eqns. 2010, 249: 215-239
4. Some properties of positive radial solutions for some semilinear elliptic equations . Comm. Pure Appl. Anal., 2010, 9(4): 943-953
5. (with Zheng Zhou and Baishun Lai) Saddle solutions of nonlinear elliptic equations involving the p-Laplacian. Nonlinear Diff. Eqns. Appl., 2011, 18: 101-114
6. (with Liping Wang) Interface foliation for an inhomogeneous Allen-Cahn equation in Riemannian manifolds. Cal. Var. PDE, 2013,47: 343-381.
7. (with Baishun Lai) Properties of the extremal solution for a fourth-order elliptic problem. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2012, 142A: 1051-1069
8. (with Baishun Lai) Transition layers for an inhomogeneous Allen-Cahn equation in Riemannian manifolds. DCDS-A, 2013, 33(4): 1407-1429
9. (with Huahui Yan) Maximal saddle solution of a nonlinear elliptic equation involving the p-Laplacian. Proc. Indian Acad. Sci. (Math. Sci.) 2014, 124(1) : 57-65
10. Singular solutions of semilinear elliptic equations with fractional5 Laplacian in entire space.
11. (with Juncheng Wei) Clustering layers for the Fife-Greenlee problem in R^n. The Royal Society of Edinburgh Proceedings A (Mathematics), accepted for publication.