报告人：孙林林 博士（武汉大学）

时间：2021年5月18日星期二9:00-11:00

腾讯会议：518 7997 8794

题目：Brouwer degree for Kazdan-Warner equations on a connected finite graph

摘要：We study Kazdan-Warner equations on a connected finite graph via the method of the degree theory. Firstly, we prove that all solutions to the Kazdan-Warner equation with nonzero prescribed function are uniformly bounded and the Brouwer degree is well defined. Secondly, we compute the Brouwer degree case by case. As consequences, we give new proofs of some known existence results for the Kazdan-Warner equation on a connected finite graph. This is a joint work with Dr. Wang Liuquan.