Self-consistent mean-field models for nuclear structure , M. Bender, P.H. Heenen, and P.G. Reinhard, Rev. Mod. Phys. 75, 121 (2003). Review article by three well-known nuclear DFT practitioners focusing on applications of non-relativistic Skyrme EDFs (with some discussion of relativistic functionals) to nuclear structure.

Toward ab initio density functional theory for nuclei, J. Drut, R.J. Furnstahl, and L. Platter, Prog. Part. Nucl. Phys. 64, 1 (2010). Pedagogical review focusing on ab-initio approaches to DFT (orbital-dependent functionals, density matrix expansion, etc.)

A primer in density functional theory, Fiolhais, Nogueira, and Marques (Editors), Springer Verlag (2003). The first chapter gives a very nice overview of

The Nuclear Many-Body Problem, P. Ring and P. Schuck