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

@article{Sun2022BrouwerDF,
  title={Brouwer degree for Kazdan-Warner equations on a connected finite graph},
  author={Linlin Sun and Liuquan Wang},
  journal={Advances in Mathematics},
  year={2022}
}

A heat flow for the mean field equation on a finite graph

  • Yong LinY. Yang
  • Mathematics
    Calculus of Variations and Partial Differential Equations
  • 2021
Inspired by works of Castéras (Pac J Math 276:321–345, 2015), Li and Zhu (Calc Var Partial Differ Equ 58:1–18, 2019), Sun and Zhu (Calc Var Partial Differ Equ 60:1–26, 2021), we propose a heat flow

Existence of solutions in the $\text{U}(1)\times \text{U}(1)$ Abelian Chern-Simons model on finite graphs

In this paper, we consider a system of equations arising from the U(1) × U(1) Abelian Chern-Simons model on finite graphs. Here λ > 0, b > a > 0, m j > 0 ( j = 1 , 2 , ··· k 1 ), n j > 0 j = 1 2 ··· k

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  • Shuang LiuY. Yang
  • Mathematics
    Calculus of Variations and Partial Differential Equations
  • 2020
Let G=(V,E)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}

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