  The stability of the Skyrmion solution in the presence of finite isospin
chemical potential $\mu $ is considered, showing the existence of a critical
value $\mu_{c} = 222.8$ MeV where the Skyrmion mass vanishes. Using the
Hamiltonian formulation, in terms of collective variables, we discuss the
behavior of different skyrmionic parameters as function of the isospin chemical
potential ($\mu$), such as the energy density, the isoscalar radius and the
isoscalar magnetic radius. We found that the radii start to grow very fast for
$\mu \geq 140$ MeV, suggesting the occurrence of a phase transition.
