  Poisson-Boltzmann (PB) theory is the classic approach to soft matter
electrostatics which has been applied to numerous problems of physical
chemistry and biophysics. Its essential limitations are the neglect of
correlation effects and of fluid structure. Recently, several theoretical
insights have allowed the formulation of approaches that go beyond PB theory in
a systematic way. In this topical review we provide an update on the
developments achieved in self-consistent formulations of correlation-corrected
Poisson-Boltzmann theory. We introduce the corresponding system of coupled
nonlinear equations for both continuum electrostatics with a uniform dielectric
constant and a structured solvent, a dipolar Coulomb fluid, including nonlocal
effects. While the approach is only approximate and also limited to corrections
in the so-called weak fluctuation regime, it allows to include physically
relevant effects, as we show for a range of applications of these equations.
