This paper is the second part of our comprehensive study on the structure of the solutions for the following Chern-Simons-Higgs equation: {Delta u + 1/epsilon(2) e(u)(1 - e(u)) = 4 pi Sigma(N)(j=1) delta(pj), in Omega, u is doubly periodic on partial derivative Omega, (0.1) where Omega is a parallelogram in R-2 and epsilon > 0 is a small parameter. In part 1 [29], we proved the non-coexistence of different bubbles in the bubbling solutions and obtained an existence result for the Chern-Simons type bubbling solutions under some nearly necessary conditions. Mean field type bubbling solutions for...
