Compactness of Q-curvature Problem

：魏军城（香港中文大学）
：2025-03-18 16:30
：海韵园实验楼S102

报告人：魏军城（香港中文大学）

时  间：2025年3月18日16:30

地  点：海韵园实验楼S102

内容摘要:

We consider the compactness of solutions set of Q-curvature Problem. Wei and Zhao in 2013 showed non-compactness in dimensions 25 or above. Li and Xiong proved compactness in dimensions 5 to 9. In this talk we will prove compactness in the remaining dimensions $10\leq n\leq 24$. Our key observation is a cancellation property because of the amazing algebraic structure of the Paneitz operator. We also prove similar results for Q_6. (Joint work with L.Gong and S. Kim.)

个人简介：

Professor Jun-Cheng Wei is currently Choh-Ming Li Professor of Mathematics at the Chinese University of Hong Kong. He works in the area of nonlinear partial differential equations, nonlinear analysis and mathematical biology. He received a Silver Morningside Medal in 2010, and was an invited speaker at the 2014 International Congress of Mathematicians. Professor Wei was elected a fellow of the Royal Society of Canada FRSC in 2019, and awarded the CMS Jeffery-Williams Prize and Simons Fellow in Mathematics in 2020.  Since 1994, Professor Wei has over 500 published articles in top journals, including Annals of Mathematics, Inventiones Mathematicae, Communications on Pure and Applied Mathematics and Duke Mathematical journal. As of 2023, Professor Wei’s scholarly work has been cited over 20,000 times and has an h-index of 73.

 

联系人：夏超