Geometric Analysis Seminar —— A quantitative second order estimate for p-harmonic functions in manifolds under curvature-dimension condition
报告人：张世金 (北京航空航天大学)
时间：2025-12-25 10:00-11:00
地点：智华楼313
【摘要】
In this talk, first I will introduced some results about the gradient estimate of p-harmonic functions on Riemannian manifolds, including the results of Kotschwar-Ni, Wang-Zhang, Sung-Wang. Then I will introduce the results about the quantitative second-order Sobolev estimate of for positive p-harmonic functions in Riemannian manifolds under Ricci curvature bounded from below and also for positive weighted p-harmonic functions in weighted manifolds under the Bakry-Émery curvature-dimension condition. This is a joint work with Jiayin Liu and Yuan Zhou.
