  We obtain BPS configurations of the BLG theory and its variant including mass
terms for scalars and fermions in addition to a background field with different
world-volume and R-symmetries. Three cases are considered, with world-volume
symmetries SO(1,1) and SO(2) and preserving different amounts of supersymmetry.
In the former case we obtain a singular configuration preserving N=(3,3)
supersymmetry and an one-quarter BPS configuration corresponding to
intersecting M2-M5-M5-branes. In the latter instance the BPS equations are
reduced to those in the self-dual Chern-Simons theory with two complex scalars.
In want of an exact solution, we find a topological vortex solution numerically
in this case. Other solutions are given by combinations of domain walls.
