报告时间：2024年5月17日 9：30开始
报 告 人：万方舒（安徽大学）
报告地点：9号楼113报告厅
报告题目：Asymptotic behavior at isolated singularities of solutions to some elliptic equations
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，安徽大学讲师。2020年毕业于中国科学技术大学，获理学博士学位。之后在中国科学技术大学担任特任副研究员(2020-2023)。主要从事几何分析、偏微分方程等领域的研究，尤其对二阶和四阶共形不变方程的奇异解进行了深入研究。相关研究成果发表在Commun. Partial Differ. Equ., Calc. Var. Partial Differ. Equ., J. Differential Equations 等国际学术期刊上。
