Special Session 31: Regularity of partial differential equations

Boundary regularity for elliptic equations

Kai Zhang
University of Granada
Spain
Co-Author(s):    Yongpan Huang, Guanghao Hong, Dongsheng Li, Yuanyuan Lian, Duan Wu
Abstract:
In this talk, we introduce a series of boundary pointwise regularity for elliptic equations, including boundary Hölder regularity, boundary Lipschitz regularity, boundary differentiability, boundary $C^{k,\alpha}$ regularity for any $k\geq 1, 0 < \alpha < 1$. This talk is a combination of our several work in recent years.