  The existence of vortex condensates in the self-dual
  Maxwell-Chern-Simons-Higgs System on a flat torus is proved by the super-sub
solution method under the assumption that the total vortex number in a given
periodic domain is not too large.
  We also study the limiting behaviors of the solutions as the Chern-Simons
coupling constant goes to some limits. In the Abelian-Higgs limit we find that
our solutions strongly converges to the corresponding vortex condensates of the
Abelian-Higgs system, while in the Chern-Simons limit the solutions strongly
converges to the corresponding vortex condensates of Chern-Simons system.
