  We consider the classical static soliton solutions of the Skyrme model with
false vacuum potential. We make use of fully three-dimensional relaxation
calculations to construct global energy minimizers in the sectors of
topological degrees from $Q=1$ to $Q=6$. These solutions may be metastable,
they contain a domain of true vacuum inside the core. Further, we explore small
regions of negative topological charge density which appear for the Skyrmions
of degrees $Q=3,5,6$.
