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

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