Existence of Solutions to a Generalized Self-Dual Chern-Simons System on Finite Graphs
Ruixue CHAO , Songbo HOU , Jiamin SUN
Journal of Partial Differential Equations ›› 2025, Vol. 38 ›› Issue (1) : 115 -123.
Existence of Solutions to a Generalized Self-Dual Chern-Simons System on Finite Graphs
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).
Finite graph / Chern-Simons system / upper and lower solutions / priori estimates
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