Year: 2025
Author: Ruixue Chao, Songbo Hou, Jiamin Sun
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 1 : pp. 114–122
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).
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v38.n1.7
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 1 : pp. 114–122
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Finite graph Chern-Simons system upper and lower solutions priori estimates.