  We consider properties of the inhomogeneous solution found recently for
\mbox{$\mathbb{CP}^{\,N-1}$} model. The solution was interpreted as a soliton.
We reevaluate its energy in three different ways and find that it is negative
contrary to the previous claims. Hence, instead of the solitonic interpretation
it calls for reconsideration of the issue of the true ground state. While
complete resolution is still absent we show that the energy density of the
periodic elliptic solution is lower than the energy density of the homogeneous
ground state. We also discuss similar solutions for the ${\mathbb{O}}(N)$ model
and for SUSY extensions.
