2 citations · 2 across the 8 of their papers we have counts for
5 papers · 1 filter
Existence and asymptotic behaviors of solutions to Chern-Simons systems and equations on finite graphs
Songbo Hou, Xiaoqing Kong
In this paper, we consider a system of equations arising from the Abelian Chern-Simons model \begin{eqnarray*}\left\{\begin{aligned} Δu &=λ\left(a(b…
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…
Multiple solutions of a nonlinear biharmonic equation on graphs
Songbo Hou
In this paper, we consider a biharmonic equation with respect to the Dirichlet problem on a domain of a locally finite graph. Using the variation method, we prove that the equation…
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}^…
Existence theorems for a generalized Chern-Simons equation on finite graphs
Jia Gao, Songbo Hou
Denote by a finite graph. We study a generalized Chern-Simons equation on , where and …