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We show that the CPN model with odd number of scalar fields and V-shapedpotential possesses finite energy compact solutions in the form of Q-balls andQ-shells. The solutions were obtained in 3+1 dimensions. Q-balls appears forN=1 and N=3 whereas Q-shells are present for higher odd values of N. We showthat energy of these solutions behaves as E~|Q|^5/6, where Q is the Noethercharge.

Compact Q-balls and Q-shells in the CPN type models