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工作经历
教育背景
2010.09-2016.06 厦门大学 数学科学学院 博士2006.09-2010.07 郑州大学 数学系 本科
招生专业
基础数学
几何分析与偏微分方程已发表文章:
11. Rirong Yuan, Fully non-linear elliptic equations on complex manifolds. Ann. PDE 12 (2026), no. 2, Paper No. 30, 60 pp.
10. Rirong Yuan, On a continuity method for Dirichlet problem of Hessian equations. J. Aust. Math. Soc., to appear.
9. Rirong Yuan, Existence of conformal metrics with prescribed curvature-functions of Krylov type. J. Geom. Anal. 36 (2026), no. 5, Paper No. 175, 29 pp.
8. Rirong Yuan, On a level set version of partial uniform ellipticity and applications to a Krylov type equation. Pure Appl. Math. Q. 21 (2025), no. 6, 2229--2256.
7. Rirong Yuan, The Dirichlet problem for degenerate fully nonlinear elliptic equations on Riemannian manifolds. Proc. Amer. Math. Soc. 153 (2025), no. 9, 3931--3946.
6. Rirong Yuan, Notes on conformal metrics of negative curvature on manifolds with boundary. J. Math. Study 57 (2024), no. 3, 373--378.
5. 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.
4. Rirong Yuan, Regularity of fully non-linear elliptic equations on K\"ahler cones. Pure Appl. Math. Q.16 (2020), no. 5, 1585--1617.
3. Bo Guan, Chunhui Qiu, and Rirong Yuan, Fully nonlinear elliptic equations for conformal deformation of Chern-Ricci forms, Adv. Math. 343 (2019), 538--566.
2. Rirong Yuan, On a class of fully nonlinear elliptic equations containing gradient terms on compact Hermitian manifolds, Canad. J. Math. 70 (2018), 943--960.1. Chunhui Qiu, and Rirong Yuan, On the Dirichlet problem for fully nonlinear elliptic equations on annuli of metric cones, Discrete Contin. Dyn. Syst. 737 (2017), 5707--5730.
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电子邮箱: yuanrrATscut.edu.cn
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