Special Session 15: Qualitative properties for solutions to nonlinear elliptic and parabolic equations
Boundary regularity and a priori estimates for fractional equations on unbounded domains
Yahong Guo
Shanghai Jiao Tong University Peoples Rep of China
Co-Author(s): Congming Li, Yugao Ouyang
Abstract:
In this talk, we first give a a local version of boundary H\older regularity for nonnegative solutions to the fractional Dirichlet problem in unbounded domains with C^{1,1} boundary. Then as an important application, we establish a priori estimates for solutions to a family of nonlinear fractional equations on unbounded domains with boundaries.