报告题目：A quantitative second order estimate for p-harmonic functions in manifolds under curvature-dimension condition

报告人：张世金教授 （北京航空航天大学）

时间：2024年6月3日上午10：00～11：00

地点：五教5307

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.

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