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arxiv: 2206.12863 · v1 · pith:HOJOP6VG · submitted 2022-06-26 · math.AP

Existence of solutions to a generalized self-dual Chern-Simons system on finite graphs

Ruixue Chao , Songbo Hou , Jiamin Sun This is my paper

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classification math.AP
keywords solutionscasechern-simonsexistencefinitegraphssystemanalysis
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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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