Speaker: Jingang Xiong, professor and doctoral supervisor, Beijing Normal University

Date: January 19, 2024

Time: 15:30-17:30

Location: Tencent Meeting: 524 811 965

Sponsor: School of Mathematics, Shandong University

Abstract:

I will talk about a joint work with Yanyan Li and Luc Nguyen about the regularity of viscosity solutions to the $\sigma_k$-Loewner-Nirenberg problem in bounded domains, $k\ge 2$. When the domains' boundaries have more than one connected components, we show that viscosity solutions are not $C^1$. However, the Lipschitz regularity was known. On the other hand, we establish smoothness of the viscosity solutions near the boundaries.

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https://www.view.sdu.edu.cn/info/1020/187328.htm