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

发表刊物：Adv. Math.

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.

论文类型：文章

通讯作者：王六权

论文编号：https://doi.org/10.1016/j.aim.2022.108422

学科门类：理学

一级学科：数学

文献类型：J

卷号：404

页面范围：108422

ISSN号：0001-8708

是否译文：否

发表时间：2022-05-02

收录刊物：SCI

附件：1.Brouwer degree for Kazdan-Warner equations on a connected finite graph.pdf