[NTNU MATH-CAG-MSRC Jointed Seminar on Geometric Analysis] 【09月13日】朱曉寶 / Kazdan-Warner problem on a compact Riemann surface

by 温湘婷 | 2023-09-12 16:03:40

Kazdan-Warner problem on a
compact Riemann surface

時 間:2023-09-13 14:00 (星期三) / 地 點:Online

Zoom:81156381768(Password:msrc)

朱曉寶 副教授
(中國人民大學)

Kazdan-Warner problem (1974) says that, under what kind of conditions on the prescribed function $h$, the equation $\Delta u=8\pi-8\pi he^u$ on a compact Riemann surface has a solution. When $h$ is positive, Ding-Jost-Li-Wang (1997) derived a sufficient condition for this problem. Recently, we find that Ding-Jost-Li-Wang condition is still sufficient when $h$ is positive somewhere. In this talk, we want to share this fact.

 

Organizers:

Chang, Shu-Cheng
Kuo, Ting-Jung
Lin, Chun-Chi

Source URL: https://cantor.math.ntnu.edu.tw/index.php/2023/09/12/1120913onlinespeech/