Structural properties of exotic nuclei close to the drip lines are influenced by the continuum. For medium-mass to heavy nuclei, the nuclear Energy Density Functional (EDF) is an efficient method to describe structural properties and to account for the particle continuum. In the light of recent problems encountered when extending the EDF theory to account for nuclear symmetries, I will present an analysis of the restoration of the particle number invariance in the EDF framework and an application of the symmetry-conserved EDF to finite nuclei.
For light nuclei, a fundamental description of structural and re- action properties starting from two- and three-nucleon forces is desirable and requires to properly treat the continuum. The ab initio no-core shell model when combined with the resonating-group method (NCSM/RGM) is capable of describing simultaneously both bound and scattering states of light nuclei. Using similarity-renormalization-group evolved chiral interactions, I will present applications to light-nuclei binary scattering processes when accounting for the chiral three-nucleon interaction.