In this paper, we study the Mean field equation and the relativistic Abelian Chern-Simons
equations (involving two Higgs particles and any two gauge fields) on the finite connected …

Let (V, E) be a finite connected graph. We are concerned about the Chern–Simons Higgs
model 0.1 Δ u= λ eu (eu-1)+ f, where Δ is the graph Laplacian, λ is a real number and f is a …

We study the existence of bubbling solutions for the the following Chern–Simons–Higgs
equation: Δ u+ ε^ 2\rm e^ u (1-\rm e^ u)= 4 π i= 1^ 2k p_i,\quad in\, Ω, where Ω is a torus. If …

We consider the mean field equation: 1 {u+ ρ e^ u ∫ _\varOmega e^ u= 0 &
in\;\varOmega,\u= 0 & on\; ∂\varOmega,\. Δ u+ ρ eu∫ Ω eu= 0 in Ω, u= 0 on∂ Ω …

We prove the existence of bubbling solutions for the following Chern-Simons-Higgs
equation: where Ω is a torus. We show that if N &gt; 4 and p< sub> 1≠ p< sub> j, j= 2,..., N …

Bubbling Solutions for the SU(3) ChernSimons Model on a Torus Page 1 Bubbling Solutions for
the SU(3) Chern-Simons Model on a Torus CHANG-SHOU LIN Taida Institute of Mathematical …

This paper is the second part of our comprehensive study on the structure of the solutions for
the following Chern–Simons–Higgs equation:(0.1){Δ u+ 1 ε 2 eu (1− eu)= 4 π∑ j= 1 N δ pj …

The existence of topological solutions for the Chern-Simons equation with two Higgs
particles has been proved by Lin, Ponce and Yang [16]. However, both the uniqueness …

We prove the existence of maximal condensates for the relativistic Abelian Chern-Simons
equations involving two Higgs particles and two gauge fields on a torus. After a change of …

In this paper, we consider a system of non-Abelian multiple vortex equations governing
coupled SU (N) and U (1) gauge and Higgs fields which may be embedded in a …