%0 Journal Article %T Non-topological condensates for the self-dual Chern-Simons-Higgs model %A Manuel del Pino %A Pierpaolo Esposito %A Pablo Figueroa %A Monica Musso %J Mathematics %D 2013 %I arXiv %X For the abelian self-dual Chern-Simons-Higgs model we address existence issues of periodic vortex configurations -- the so-called condensates-- of non-topological type as $k \to 0$, where $k>0$ is the Chern-Simons parameter. We provide a positive answer to the long-standing problem on the existence of non-topological condensates with magnetic field concentrated at some of the vortex points (as a sum of Dirac measures) as $k \to 0$, a question which is of definite physical interest. %U http://arxiv.org/abs/1305.5863v3