A quantitative second order estimate for p-harmonic functions on Riemannian manifolds
数学专题报告
报告题目(Title)：A quantitative second order estimate for p-harmonic functions on Riemannian manifolds
报告人(Speaker)：张世金 教授 （北京航空航天大学）
地点(Place)：后主楼1220
时间(Time)：2024年10月10日14:00-15:00
邀请人(Inviter)：汪志威
报告摘要
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.
