Name: Rirong Yuan

Address: School of Mathematics, South China University of Technology, Guangzhou, 510640, P.R. China

Email：yuanrr@scut.edu.cn

Research Interests:

Geometric analysis and Partial differential equation:  Fully nonlinear equations and related geometric problems

Education:

Sept.2010-June2016: Ph.D. in Mathematics, Xiamen University, Xiamen, P.R. China

Sept.2016-July 2010: B.S. in Mathematics, Zhengzhou University, Zhengzhou, P.R. China

Experiences:

October 2020-Present: Associate professor of Mathematics, School of Mathematics, South China University of Technology, P.R. China

August 2017-August 2020: Research Fellow, School of Mathematics (Zhuhai), Sun Yat-sen University, P.R. China

September 2016-June 2017: Visiting Scholar, School of Mathematical Sciences, University of Science and Technology of China, P.R. China

Research Grants:

2019.01-2021.12: National Natural Science Foundation of China, Grant No. 11801587

Publications:

[1]Rirong Yuan, On the Dirichlet problem for a class of fully nonlinear elliptic equations. Calc. Var. Partial Differential Equations 60 (2021), no. 5, Paper No. 162, 20 pp.

[2]Rirong Yuan, Regularity of fully non-linear elliptic equations on K\ahler cones, Pure and Applied Mathematics Quarterly, 16 (2020), no. 5, 1585-1617.

[3]Bo Guan, Chunhui Qiu, Rirong Yuan, Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms. Adv. Math. 343 (2019), 538–566. 

[4]Rirong Yuan, On a class of fully nonlinear elliptic equations containing gradient terms on compact Hermitian manifolds. Canad. J. Math. 70 (2018), no. 4, 943–960.

[5]Chunhui Qiu, Rirong Yuan, On the Dirichlet problem for fully nonlinear elliptic equations on annuli of metric cones. Discrete Contin. Dyn. Syst. 37 (2017), no. 11, 5707–5730.