Rirong Yuan Position: Associate Professor
Email: yuanrr@scut.edu.cn Research Interests Education and Work Experience Education Experience: Work Experience: 2020/10-Present: South China University of Technology, School of Mathematics, Associate Professor / Master's Supervisor 2017/08-2020/08: Sun Yat-sen University, School of Mathematics (Zhuhai), Associate Research Fellow 2016/09-2017/06: University of Science and Technology of China, School of Mathematical Sciences, Visiting Scholar
Research Achievement Rirong Yuan, On a level set version of partial uniform ellipticity and applications to a Krylov type equation. To appear in Pure Appl. Math. Q. Rirong Yuan, The Dirichlet problem for degenerate fully nonlinear elliptic equations on Riemannian manifolds. Proc. Amer. Math. Soc. 153 (2025), no. 9, 3931–3946. Rirong Yuan, Notes on conformal metrics of negative curvature on manifolds with boundary. J. Math. Study 57 (2024), no. 3, 373–378. 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. Rirong Yuan, Regularity of fully non-linear elliptic equations on Kähler cones. Pure Appl. Math. Q. 16 (2020), no. 5, 1585–1617. Bo Guan, Chunhui Qiu, Rirong Yuan, Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms. Adv. Math. 343 (2019), 538–566. 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. 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.
Teaching
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