Existence of solutions to a generalized self-dual Chern-Simons system on finite graphs
Analysis of PDEs
2022-06-28 v1
Abstract
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).
Keywords
Cite
@article{arxiv.2206.12863,
title = {Existence of solutions to a generalized self-dual Chern-Simons system on finite graphs},
author = {Ruixue Chao and Songbo Hou and Jiamin Sun},
journal= {arXiv preprint arXiv:2206.12863},
year = {2022}
}
Comments
6 pages