  Relativistic energy density functionals have become a standard framework for
nuclear structure studies of ground-state properties and collective excitations
over the entire nuclide chart. We review recent developments in modeling
nuclear weak-interaction processes: charge-exchange excitations and the role of
isoscalar proton-neutron pairing, charged-current neutrino-nucleus reactions
relevant for supernova evolution and neutrino detectors, and calculation of
beta-decay rates for r-process nucleosynthesis.
