刘忠原
姓 名:刘忠原
职 称:教授
研究领域:非线性分析与偏微分方程
电子邮件:liuzy@henu.edu.cn
教育背景:
2003.09—2007.07,河南师范大学,数学与应用数学,理学学士
2007.09—2010.07,河南师范大学(保送),基础数学,理学硕士,导师:郭宗明 教授
2010.09—2013.07,中国科学院大学数学与系统科学研究院,应用数学,理学博士,导师:曹道民 研究员
工作经历:
2013.07—2018.05, 英国威廉希尔公司, 讲师
2018.06—2024.02, 英国威廉希尔公司, 副教授
2024.03—至今, 英国威廉希尔公司, 教授
代表性学术论文:
[1] Zhongyuan Liu, Peng Luo,A new perturbation to a critical elliptic problem with a variable exponent,
Sci. China Math., 66(2023), no.2, 1021-1040.
[2] Zhongyuan Liu, Peng Luo, Huafei Xie, Qualitative analysis of single peaked solutions for the supercritical Hénon problem, Calc. Var. Partial Differential Equations, 61(2022), no.5, Paper No. 190, 23 pp.
[3] Zongming Guo, Zhongyuan Liu, Singular solutions of the Liouville equation in a punctured disc,
J.Geom. Anal. 32 (2022), no.1, Paper No. 26, 28 pp.
[4] Zhongyuan Liu, Bubble solutions for Hénon type equation with nearly critical exponent in RN, Nonlinear Anal., 213 (2021), Paper No. 112507, 18 pp.
[5] Zongming Guo, Zhongyuan Liu, Liouville type results for semilinear biharmonic problems in exterior domains. Calc. Var. Partial Differential Equations, 59(2020), no. 2, Paper No. 66, 26 pp.
[6] Daomin Cao, Zhongyuan Liu, Shaungjie Peng, Sign-changing bubble tower solutions for the supercritical Hénon-type equations, Ann. Mat. Pura Appl., 197 (2018), no.4, 1227-1246.
[7] Daomin Cao, Shuanglong Li, Zhongyuan Liu, Nodal solutions for a supercritical semilinear problem with variable exponent, Calc. Var. Partial Differential Equations, 57(2018), no.2, Paper No.38, 19 pp.
[8] Zhongyuan Liu, Nodal bubble-tower solutions for a semilinear elliptic problem with competing powers, Discrete and Continuous Dynamical Systems, 37 (2017), no.10, 5299-5317.
[9] Zhongyuan Liu, Shuangjie Peng, Infinitely many Double-Boundary-Peak solutions for a Hénon-like equation with critical nonlinearity, Journal of Differential Equations, 260 (2016), no. 1, 370-400.
[10] Daomin Cao, Zhongyuan Liu, Juncheng Wei, Regularization of point vortices pairs for the Euler equation in dimension two, Arch. Rational Mech. Anal., 212 (2014), no.1, 179-217.
科研项目:
1. Hénon型方程解的集中现象(11426088), 国家自然科学基金数学天元基金项目, 2015/01-2015/12,
3万元, 已结题, 主持
2. 分数次椭圆型方程解的集中现象(11501166), 国家自然科学基金青年基金项目, 2016/01-2018/12,
18万元, 已结题, 主持
3. 关于四阶椭圆问题集中解的研究(11971147), 国家自然科学基金面上项目, 2020/01-2023/12,
50万元, 已结题, 主持
4. 带临界指数椭圆方程解的性质研究(12371111), 国家自然科学基金面上项目, 2024/01-2027/12,
43.5万元, 在研, 主持
主讲课程:
常微分方程, 偏微分方程, 泛函分析, 概率论与数理统计