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

2 citations · 2 across the 2 of their papers we have counts for

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math.AP2022★ 2 cited

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

Ruixue Chao, Songbo Hou, Jiamin Sun

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 solution…

math.AP2022

Existence of solutions to Chern-Simons-Higgs equations on graphs

Songbo Hou, Jiamin Sun

Let be a finite graph. We consider the existence of solutions to a generalized Chern-Simons-Higgs equation $$ Δu=-λe^{g(u)}\left( e^{g(u)}-1\right)^2+4π\sum\limits_{j=1}^…