@Article{JPDE-38-115, author = {Chao , RuixueHou , Songbo and Sun , Jiamin}, title = {Existence of Solutions to a Generalized Self-Dual Chern-Simons System on Finite Graphs}, journal = {Journal of Partial Differential Equations}, year = {2025}, volume = {38}, number = {1}, pages = {115--123}, 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).
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v38.n1.7}, url = {http://global-sci.org/intro/article_detail/jpde/23955.html} }