  Low temperature properties of harmonically confined two-dimensional
assemblies of dipolar bosons are systematically investigated by Monte Carlo
simulations. Calculations carried out for different numbers of particles and
strengths of the confining potential yield evidence of a quantum phase
transition from a superfluid to a crystal-like phase, consistently with what is
observed in the ho- mogeneous system. It is found that the crystal phase
nucleates in the center of the trap, as the density increases. Bose-Einstein
condensation vanishes at T = 0 upon entering the crystalline phase,
concurrently with the disappearance of the superfluid response.
