Green Functions and Mean Field Equation at Critical Parameters on Torus

GEOMETRIC PDE SEMINAR
Topic:Green Functions and Mean Field Equation at Critical Parameters on Torus
Speaker:Chang-Shou Lin
Affiliation:National Taiwan University
Date:Tuesday, March 24
Time/Room:2:00pm - 3:00pm/S-101

The location of blowup points is often related to critical points of Green function. In fact, Green function plays a important role to understand the solutions structure of mean field equations. We will show how to use the elliptic function and the PDE technique together to understand the structure of solution at the critical parameters. As an application of our theory, we prove the Green function of any torus has five critical points.