Lukasz T. Stepien The existence of Bogomolny decompositions for gauged baby Skyrme models (404K, PDF) ABSTRACT. The Bogomolny decompositions (Bogomolny equations) for the gauged baby Skyrme models: restricted and full one, in (2+0)-dimensions, are derived, for some general classes of the potentials. The conditions, which must be satisfied by the potentials, for each of these mentioned models, are also derived.