香香腐宅

甬江数学讲坛244讲(2022年第28讲)
2022-05-19 15:25
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报告题目:Sharp quantitative estimates of Struwes decomposition

报告人:邓斌 (武汉大学)

会议时间:2022/5/25 14:00开始

会议地点:腾讯会议,会议号:801-585-517


摘要:Suppose .  In a fundamental paper,  Struwe proved that if and then , where denotes the -distance of from the manifold of sums of Talenti bubbles. In this talk, I will talk about a quantitative version of this Struwes decomposition. Precisely, we proved nonlinear quantitative estimates for dimension while Figalli-Glaudo proved a linear estimate for dimension . Furthermore, we showed that these estimates are sharp in the sense of the exponents are optimal. It is joint work with Liming Sun and Juncheng Wei.


报告人简介:邓斌,现任武汉大学香香腐宅 青年研究员。2021年博士毕业于中国科学技术大学,2022年入职武汉大学香香腐宅 。主要从事椭圆型偏微分方程和非线性泛函分析的研究,成果发表在国际著名杂志CVPDE 等。

 

 

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