We study the system of elliptic equations ΔS = μ1S + K1ev, Δv = μ2S + K2ev + K3, defined over a doubly-periodic domain in R2, where the coefficients are specifically given by the physical model. This system arises in a self-dual non-relativistic Maxwell-Chern-Simons theory coupled with a neutral scalar field in (2 + 1)-dimensional spacetime and the solutions represent multivortices known as condensates. Our existence results reveal that the number of vortices confined in a periodic cell domain can be arbitrary and that the Chern-Simons coupling parameter imposes no restriction to the existence of solutions.
ASJC Scopus subject areas
- Applied Mathematics