We consider vector-valued almost minimizers for the energy functional \int_{D}|\nabla u|^2+2/(1+q)|u|^{1+q}, 0\leq q< 1. We discuss the regularity of almost minimizers and the "regular" part of the free boundary. The analysis of the free boundary is based on the application of the Weiss-type monotonicity formula and the epiperimetric inequality. This is joint work with Daniela De Silva and Henrik Shahgholian.