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arXiv · 2206.12863

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

Ruixue Chao·Songbo Hou·Jiamin Sun
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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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Ruixue Chao, Songbo Hou, Jiamin Sun. 2022-06-26. Existence of solutions to a generalized self-dual Chern-Simons system on finite graphs. https://arxiv.org/abs/2206.12863

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