2 papers
math.AP2018
Multiple Solutions for the Non-Abelian Chern--Simons--Higgs Vortex Equations
Xiaosen Han, Gabriella Tarantello
In this paper we study the existence of multiple solutions for the non-Abelian Chern--Simons--Higgs -system: \[ Δu_i=λ\left(\sum_{j=1}^N\sum_{k=1}^N K_{kj}K_{ji}\re^{u…
math-ph2012
Doubly Periodic Self-Dual Vortices for a Relativistic Non-Abelian Chern--Simons Model
Xiaosen Han, Gabriella Tarantello
In this paper we establish a multiplicity result concerning the existence of doubly periodic solutions for a nonlinear elliptic system arising in the study of self-dual…