题目：Liouville theorems for conformally invariant fully nonlinear equations and applications

报告人：李岩岩教授 （美国Rutgers大学）        

摘要：We present new results on optimal Liouville theorems for conformally invariant fully nonlinear equations in Euclidean spaces and half Euclidean spaces. Key new ingredients in the proofs of these results are deeper understanding of behavior of solutions near isolated singularities. Applications of the Liouville theorems will be given to establish derivative estimates and existence of solutions to fully nonlinear equations arising from conformal geometry. These are joint works with Baozhi Chu and Zongyuan Li.

报告人简介：李岩岩，美国Rutgers 大学数学系杰出教授，非线性分析中心主任，是非线性分析和偏微分方程领域的国际著名专家，曾获美国Alfred P. Sloan数学奖，是2002年国际数学家大会45分钟邀请报告人，在Acta Math., Invent. Math., Comm. Pure Appl. Math., Duke Math. J.等国际顶尖数学期刊发表论文140余篇，是多个国际主流数学期刊的主编或编委。

报告时间：2025年1月20日（周一）下午15:30—17:00

报告地点：教二楼613

联系人：刘兆理