Title：Qualitative analysis on the critical points of Robin function
Speaker：Peng Luo（Central China Normal University）
Time：10:00-11:00, October29
Location： Tecent Meeting, Tecent Meeting ID:285 303 261, Password:202110
Abstract：In this talk, we consider the number, location and non-degeneracy of critical points of Robin function for some domains without a small convex set. The result is obtained by some computations involving Green's function and degree theory. The result shows that the location of the center of the small convex set plays a crucial role on the properties of Robin function, and it can be used to analyze the number of positive solutions of related nonlinear elliptic problems on some non-convex domains. This is a work jointed with Massimo Grossi, Isabella Ianni and Shusen Yan.
