题目：Qualitative analysis on the critical points of Robin function

报告人：罗鹏（华中师范大学）

时间：10月29日，10:00-11:00

地点：腾讯会议，会议号：285 303 261，密码：202110

摘要：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.