The existence of Bogomolny decompositions for gauged baby Skyrme models
  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. 
{\L}. T. St\c{e}pie\'n
math-ph hep-th math.MP nlin.SI