杨云雁教授、理学博士、博士生导师
主要研究方向：偏微分方程与几何分析
办公室：信息楼**-0689yunyanyang@ruc.edu.cn

教育经历1991年9月至1998年6月，安徽大学数学系应用数学专业，学士，硕士
1998年9月至2001年6月，中科院数学所，博士
工作经历2001年7月-2003年6月 北京大学数学科学学院 博士后
2003年7月-2018年6月 中国人民大学信息学院
2018年7月-至今 中国人民大学数学学院
科研成果MR** Grigor'yan, Alexander; Lin, Yong; Yang, YunYan Existence of positive solutions to some nonlinear equations on locally finite graphs. Sci. China Math. 60 (2017), no. 7, 1311–1324.
MR** Yang, Yunyan; Zhu, Xiaobao A remark on a result of Ding-Jost-Li-Wang. Proc. Amer. Math. Soc. 145 (2017), no. 9, 3953–3959.
MR** Lin, Yong; Liu, Shuang; Yang, Yunyan A gradient estimate for positive functions on graphs. J. Geom. Anal. 27 (2017), no. 2, 1667–1679.
MR** Yang, Yunyan; Zhu, Xiaobao Blow-up analysis concerning singular Trudinger-Moser inequalities in dimension two. J. Funct. Anal. 272 (2017), no. 8, 3347–3374.
MR** Lin, Yong; Liu, Shuang; Yang, Yun Yan Global gradient estimate on graph and its applications. Acta Math. Sin. (Engl. Ser.) 32 (2016), no. 11, 1350–1356.
MR** Yang, Yunyan A Trudinger-Moser inequality on a compact Riemannian surface involving Gaussian curvature. J. Geom. Anal. 26 (2016), no. 4, 2893–2913.
MR** Grigor'yan, Alexander; Lin, Yong; Yang, Yunyan Yamabe type equations on graphs. J. Differential Equations 261 (2016), no. 9, 4924–4943.
MR** Grigor'yan, Alexander; Lin, Yong; Yang, Yunyan Kazdan-Warner equation on graph. Calc. Var. Partial Differential Equations 55 (2016), no. 4, Art. 92, 13 pp.
MR** Yang, Yunyan; Zhu, Xiaobao An improved Hardy-Trudinger-Moser inequality. Ann. Global Anal. Geom. 49 (2016), no. 1, 23–41.

MR** Yang, Yunyan Quantization for an elliptic equation with critical exponential growth on compact Riemannian surface without boundary. Calc. Var. Partial Differential Equations 53 (2015), no. 3-4, 901–941.
MR** Yang, Yunyan Extremal functions for Trudinger-Moser inequalities of Adimurthi-Druet type in dimension two. J. Differential Equations 258 (2015), no. 9, 3161–3193.

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