报告题目：Mean field equation and its applications in Trudinger-Moser type inequalities

报 告 人：胡烨耀教授（中南大学）

报告时间：2024年4月18日 9:00

报告地点：格物楼数学研究中心528

报告摘要：In this talk, we will first review the resolution of the celebrated Chang-Yang conjecture on a sharp Trudinger-Moser typeinequality on the two-dimensional sphere. Then higher dimensional analogues will be presented and some very recent progresswill be introduced. We will also mention some related open problems that the audience might be interested in. The talk is basedon joint works with Changfeng Gui (University of Macau) and Weihong Xie (Central South University).

报告人简介：胡烨耀，中南大学数学与统计学院特聘教授，博士生导师，入选国家高层次青年人才。主要研究领域：非线性椭圆型偏微分方程、几何变分问题、共形几何。在《J. Funct. Anal.》《Int. Math. Res. Not. IMRN》《SIAM J. Math. Anal.》《Calc. Var. Partial Differential Equations》等国际知名数学期刊上发表文章多篇。主持和参与多项国家自然科学基金委、科技部国家重点研发计划项目。