Special Session 15: Qualitative properties for solutions to nonlinear elliptic and parabolic equations

Some recent work on qualitative analysis of nonlocal PDEs
Congming Li
Shanghai Jiao Tong University
Peoples Rep of China
Co-Author(s):    
Abstract:
We present some recent work on the analysis of nonlocal problems, focusing on maximum principles, Liouville type theorems, and the classification of solutions. Related results on a priori estimates and regularity are also discussed. Key topics include Hardy-Littlewood-Sobolev type systems and curvature-driven geometric equations.