The formation and the structure of a mixed quark-nucleon phase in neutron s
tar cores are studied, for different models of the nuclear symmetry energy.
Simple parametrizations of the nuclear matter equation of state and the ba
g model for the quark phase are used. For lower values of the bag constant
B the properties of the mixed phase do not depend strongly on the symmetry
energy. For larger B rye find that a critical pressure for the first quark
droplets to form in the nucleon medium is strongly dependent on the nuclear
symmetry energy, but the pressure at which last nucleons disappear is inde
pendent of it.