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Isolated Singularities and Liouville-type Theorems for Fully Nonlinear Elliptic Equations

发布时间:2026-05-18

报告人 时间 15:30-17:00
地点 E14-301 2026
月日 06-15 重复类型
重复结束日期

时间:2026年6月15日(星期一),15:30-17:00

地点:E14-301


主持人: 理论科学研究院 申仲伟

主讲人:香港城市大学 李宗元

报告主题:Isolated Singularities and Liouville-type Theorems for Fully Nonlinear Elliptic Equations

报告摘要:In this talk, I will discuss recent progress on fully nonlinear elliptic equations arising from conformal geometry. A central question is whether viscosity solutions defined on a punctured ball admit removable singularities, or more generally, whether they can be extended across the singular point as subsolutions or supersolutions. I will describe criteria for such extensions and explain how these results lead to Liouville-type theorems for conformally invariant equations. This is based on joint work with B. Z. Chu (UCSD) and Y. Y. Li (Rutgers).



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