Name:Liu Zhongyuan
Title: Associate Professor
Office:
Email: liuzy@henu.edu.cn
Research Field:Nonlinear Analysis and Partial Differential Equations
Education:
2010.09-2013.07, Ph.D., University of Chinese Academy of Sciences
2007.09-2010.07, Master of Science, Henan Normal University
2003.09-2007.07, Bachelor of Science, Henan Normal University
Position:
2018.09-, Henan University, Associate professor
2013.07-2018.08, Henan University, Lecturer
Selected publications:
[1] Zhongyuan Liu, Bubble solutions for Hénon type equation with nearly critical exponent in RN, Nonlinear Anal., 213 (2021), Paper No. 112507, 18 pp.
[2] Zongming Guo, Zhongyuan Liu, Liouville type results for semilinear biharmonic problems in exterior domains. Calc. Var. Partial Differential Equations, (2020) 59:66.
[3] 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.
[4] Daomin Cao, Shuanglong Li, Zhongyuan Liu, Nodal solutions for a supercritical semilinear problem with variable exponent. Cal. Var. PDE, (2018) 57:38.
[5] Zhongyuan Liu, Nodal bubble-tower solutions for a semilinear elliptic problem with competing powers, Discrete and Continuous Dynamical Systems, 37 (2017), 5299-5317.
[6] Zhongyuan Liu, Shuangjie Peng, Infinitely many Double-Boundary-Peak solutions for a Hénon-like equation with critical nonlinearity, Journal of Differential Equations, 260 (2016), 370-400.
[7] Daomin Cao, Zhongyuan Liu, Juncheng Wei, Regularization of point vortices pairs for the Euler equation in dimension two, Arch. Rational Mech. Anal., 212 (2014), 179-217.
Research Funding:
1. Concentration phenomenon of solutions for Hénon type equation, National Natural Science Foundation of
China(11426088),2015/01-2015/12, PI
2. Concentration phenomenon of solutions for fractional elliptic equations, National Natural Science Foundation of China(11501166),2016/01-2018/12, PI
3. Research on concentration of solutions for fourth order elliptic problem,National Natural Science Foundation of China(11971147),2020/01-2023/12, PI
Teaching:
Ordinary Differential Equations, Partial Differential Equations, Functional Analysis, Probability & Statistics