Trace type Adams inequalities and Existence of the extremals

发布时间：2022-06-24 作者：浏览次数：

Speaker:	朱茂春	DateTime:	2022年6月30日（周四）下午 1:30-3:30
Brief Introduction to Speaker: 朱茂春，江苏大学数学科学学院副教授。2013年博士毕业于西北工业大学理学院，曾赴意大利米兰理工大学联合培养。主持国家自然科学基金两项。主要研究几何不等式和偏微分方程，相关研究结果发表在包括Adv. Math.、Analysis & PDE、J. Differntial Equations.、Calc.Var. & PDEs、 Proc. Amer. Math. Soc.等在内的重要学术期刊		Place:	腾讯会议：445960195
Abstract:In this talk, I will report our recent work on Trace Adams on bounded domains or half spaces. By using the classic blow-up analysis, we obtain a sharp second order Trace Adams type inequalities on the bounded domains with smooth boundary, and show the existence of the extremals. Furthermore, we can obtain several sharp Trace Trudinger-Moser-Adams type inequalities on the half-spaces by the harmonic extension, such as, Trace Adams inequalities of Li-Ruf type , and Trace Adams inequalities with the exact growth. This talk is based on the joint works with L. Chen, G. Lu and Q. Yang.