Seminar| Institute of Mathematical Sciences
Time: Wednesday, September 24th, 2025,16:00-17:00
Location: IMS, RS408
Speaker: Jinyang Wu，ShanghaiTech
Abstract: We study the regularity of Lipschitz viscosity solutions to the sigma k Yamabe problem in the negative cone case. If either k= n or the manifold is conformally flat and k>n/2, we prove that all Lipschitz viscosity solutions are smooth away from a closed set of measure zero. For the general k>n/2 case, under certain assumptions, we prove the existence of a Lipschitz viscosity solution that is smooth away from a closed set of measure zero.
Here is a link to the paper: https://arxiv.org/abs/2407.08300