Vortex-Condensations of a Non-Relativistic Maxwell–Chern–Simons Theory

We study an elliptic system subject to periodic boundary conditions arising from the study of vortex-condensates for a selfdual non-relativistic model introduced by Dunneet al., Phys. Rev. D.43, 1332–1345 (1990) in the framework of Chern–Simons gauge theory. We prove the existence of a vortex-condensate forallvalues of the relevant physical parameters involved in the model. This completes a recent work of Spruck and Yang [16] who could deal only with a restricted set of those parameters. Uniqueness is also discussed.