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Volume 38, Issue 1
Existence of Solutions to a Generalized Self-Dual Chern-Simons System on Finite Graphs

Ruixue Chao, Songbo Hou & Jiamin Sun

DOI: 10.4208/jpde.v38.n1.7

J. Part. Diff. Eq., 38 (2025), pp. 114-122.

Published online: 2025-04

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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).

  • Keywords

Finite graph, Chern-Simons system, upper and lower solutions, priori estimates.

  • AMS Subject Headings

35J47, 05C22

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-38-114, author = {Chao , RuixueHou , Songbo and Sun , Jiamin}, title = {Existence of Solutions to a Generalized Self-Dual Chern-Simons System on Finite Graphs}, journal = {Journal of Partial Differential Equations}, year = {2025}, volume = {38}, number = {1}, pages = {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).

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v38.n1.7}, url = {http://global-sci.org/intro/article_detail/jpde/23955.html} }
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 - 114 EP - 122 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 -

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).

Chao , RuixueHou , Songbo and Sun , Jiamin. (2025). Existence of Solutions to a Generalized Self-Dual Chern-Simons System on Finite Graphs. Journal of Partial Differential Equations. 38 (1). 114-122. doi:10.4208/jpde.v38.n1.7
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