Mean field type equations and the applications in Trudinger-Moser type inequalities

：胡烨耀（中南大学）
：2025-05-25 11:00
：海韵园实验楼S106

报告人：胡烨耀（中南大学）

时  间：2025年5月25日11:00

地  点：海韵园实验楼S106

内容摘要:

In this talk, we will first review the resolution of the Chang-Yang conjecture on a sharp Trudinger-Moser inequality on the two-dimensional sphere. Then higher dimensional analogues will be presented. We will also mention some new inequalities involving the second order momentum in the spirit of the Szego's limit theorem. The talk is based on joint works with Changfeng Gui (University of Macau) and Weihong Xie (Central South University).

个人简介：

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。

 

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