  We present recent advances in Density Functional Theory (DFT) for
applications to the field of quantum transport, with particular emphasis on
transport through strongly correlated systems. We review the foundations of the
popular Landauer-B\"uttiker(LB)+DFT approach. This formalism, when using
approximations to the exchange-correlation (xc) potential with steps at integer
occupation, correctly captures the Kondo plateau in the zero bias conductance
at zero temperature but completely fails to capture the transition to the
Coulomb blockade (CB) regime as temperature increases. To overcome the
limitations of LB+DFT the quantum transport problem is treated from a
time-dependent (TD) perspective using TDDFT, an exact framework to deal with
nonequilibrium situations. The steady-state limit of TDDFT shows that in
addition to an xc potential in the junction, there also exists an xc correction
to the applied bias. Open shell molecules in the CB regime provide the most
striking examples of the importance of the xc bias correction. Using the
Anderson model as guidance we estimate these corrections in the limit of zero
bias. For the general case we put forward a steady-state DFT which is based on
the one-to-one correspondence between the pair of basic variables steady
density on and steady current across the junction and the pair local potential
on and bias across the junction. Like TDDFT, this framework also leads to both
an xc potential in the junction and an xc correction to the bias. Unlike in
TDDFT, these potentials are independent of history. We highlight the universal
features of both xc potential and xc bias corrections for junctions in the CB
regime and provide an accurate parametrization for the Anderson model at
arbitrary temperatures and interaction strengths thus providing a unified DFT
description for both Kondo and CB regimes and the transition between them.
