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

发布时间：2023-05-31 作者：浏览次数：

Speaker:	孙林林教授	DateTime:	2023年06月13号(周二)下午16:00-17:00
Brief Introduction to Speaker: 孙林林，武汉大学教授		Place:	六号楼二楼报告厅
Abstract: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 Wang Liuquan.