报告题目1：Isolated singularities of semilinear elliptic equations 

报告人：杨辉，上海交通大学

报告时间：2024年5月23日（周四）10:00-11:00

报告地点：20-306

报告摘要：In this talk, we first review the characterization of isolated singularities of second-order semilinear elliptic equations. Then we introduce a higher-order asymptotic expansion for the scalar curvature equation near isolated singularities. Furthermore, we will also discuss the recent progress on isolated singularities of higher-order elliptic equations. 

报告人简介：杨辉，上海交通大学数学科学学院讲师，博士毕业于清华大学。主要研究方向为偏微分方程和非线性分析。他的主要成果发表在 J. Funct. Anal.，Ann. Inst. H. Poincaré C Anal. Non Linéaire，J. Lond. Math. Soc.，Proc. Amer. Math. Soc.  Calc. Var. Partial Differential Equations，J. Differential Equations等国际知名学术期刊上。

报告题目2：Asymptotic behavior at isolated singularities of solutions to some elliptic equations

报告人：万方舒，安徽大学

报告时间：2024年5月23日（周四）11:00-12:00

报告地点：20-306

报告摘要：In this talk, we will discuss the characterization of asymptotic behavior at isolated singularities of solutions to some elliptic equations. We first establish asymptotic expansions up to arbitrary orders of positive solutions of a class semilinear elliptic equations with conical metrics in the subcritical and critical cases. Then we consider the supercritical equations. By asymptotic expansions near isolated singular points of the prescribed positive singular solutions, we construct positive non-radial singular solutions of the supercritical equations in a refined local version. 

报告人简介：万方舒，安徽大学数学科学学院讲师，毕业于中国科学技术大学。主要研究方向为非线性椭圆方程。在椭圆方程解的存在性与正则性以及四阶椭圆方程等方面取得了系列重要研究成果。她的主要成果发表在 Comm. PDE, Sci. China Math，Calc. Var. Partial Differential Equations，J. Differential Equations等国际知名学术期刊上。

邀请人：非线性分析与PDE团队