TY - JOUR
T1 - Existence of Solutions to a Generalized Self-Dual Chern-Simons System on Finite Graphs
AU - Chao , Ruixue
AU - Hou , Songbo
AU - Sun , Jiamin
JO - Journal of Partial Differential Equations
VL - 1
SP - 115
EP - 123
PY - 2025
DA - 2025/04
SN - 38
DO - http://doi.org/10.4208/jpde.v38.n1.7
UR - https://global-sci.org/intro/article_detail/jpde/23955.html
KW - Finite graph, Chern-Simons system, upper and lower solutions, priori estimates.
AB - <p style="text-align: justify;">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).</p>