  Based on a microscopic description of superfluidity in overflowing nuclear
systems, it is shown that continuum coupling plays an important role in the
suppression, the persistence and the reentrance of pairing. In such systems,
the structure of the drip-line nucleus determines the suppression and the
persistence of superfluidity. The reentrance of pairing with increasing
temperature leads to additional critical temperatures between the normal and
superfluid phases.
