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Zhongyuan Liu



NameLiu Zhongyuan

Title: Associate Professor

Office

Email liuzy@henu.edu.cn


Research FieldNonlinear 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


 

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