6-3【张世金】A quantitative second order estimate for p-harmonic functions in manifolds under curvature-dimension condition

发布时间:2024-05-28来源:几何与物理研究中心中文网页浏览次数:10

报告人:张世金(北京航空航天大学)

时间:2024年6月3日 10:00-11:00

地点:5教5307


  

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.