We consider the following nonlinear system derived from the SU(3) Chern-Simons models on a torus Ω:
where denotes the Dirac measure at . When , if we look for a solution with , then (0.1) is reduced to the Chern-Simons-Higgs equation:
The existence of bubbling solutions to (0.1) has been a longstanding problem. In this paper, we prove the existence of such solutions such that even if . © 2012 Wiley Periodicals, Inc.