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

  • Date:2022-05-04
  • Hits:

  • Journal: 

    Adv. Math.

  • 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.

  • Indexed by: 

    Article

  • Correspondence Author: 

    WANG Liuquan

  • Document Code: 

    https://doi.org/10.1016/j.aim.2022.108422

  • Discipline: 

    Natural Science

  • First-Level Discipline: 

    Mathematics

  • Document Type: 

    J

  • Volume: 

    404

  • Page Number: 

    108422

  • ISSN No.: 

    0001-8708

  • Translation or Not: 

    no

  • Date of Publication: 

    2022-05-02

  • Included Journals: 

    SCI

Attachments:

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