论文标题
存在有限图上的广义自我偶尔chern-simons系统的解决方案
Existence of solutions to a generalized self-dual Chern-Simons system on finite graphs
论文作者
论文摘要
我们研究了有限图的Chern-Simons模型中出现的方程式系统。使用迭代方案和上下解决方案方法,我们在非关键情况下获得了解决方案。关键案例是通过先验估计来处理的。我们的结果概括了Huang等人的结果。 (功能分析杂志281(10)(2021)论文编号109218)。
We study a system of equations arising in the Chern-Simons model on finite graphs. Using the iteration scheme and the upper and lower solutions method, we get existence of solutions in the non-critical case. The critical case is dealt with by priori estimates. Our results generalize those of Huang et al. (Journal of Functional Analysis 281(10) (2021) Paper No. 109218).