A Mean Value Inequality on Complete Manifolds

演講地點: 

天數 430

時間: 

2016-10-13 (星期四) 12:30 - 14:20

演講摘要: 

In this talk, we will follow Chapter 7 of Peter Li's GA book to introduce Li and Schoen's mean value property for subharmonic functions and some applications of it.

References:

  1. Peter Li, Geometric Analysis, Cambridge university press, 2012.
  2. Peter Li & Richard Schoen, "$L^p$ and mean value properties of subharmonic functions on Riemannian manifolds", Acta Math. 153 (1984), 279-301.
  3. Peter Li & Luen-Fai Tam, "Harmonic functions and the structure of complete manifolds", J. Diff. Geom. 35 (1992), 359-383.