ON THE STABILITY EQUATION OF SKYRME-LIKE SOLITONS

We compare the derivations of the stability equations for classical st atic solutions given by the time-dependent Euler-Lagrange equation and the static energy functional. Considering Skyrme-like models in d = 1 , 2 and 3 space dimensions, we show that the two stability eigenvalue problems are equivalent if one chooses a specific measure in the space of eigenfunctions.