  We consider the problem of spin-triplet p-wave superfluid pairing with total
spin projection $m_s=0$ in atomic Fermi gas across the Feshbach resonance. We
allow for imbalanced populations and take into account the effects due to
presence of a parabolic trapping potential. Within the mean-field approximation
for the one- and two-channel pairing models we show that depending on the
distance from the center of a trap at least two superfluid states will have the
lowest energy. Superfluid shells which emerge in a trap may have two out of
three angular components of the p-wave superfluid order parameter equal to
zero.
