  We review holographic renormalization for non-conformal branes using the
Hamilton-Jacobi formalism. We provide the tools required for the computation of
the holographic dictionary, while we present some marginally new technical
results regarding holographic renormalization for $Dp$-branes, $p<5$, for
Einstein-Maxwell theory coupled to a dilaton. The computations are based on a
recursive algorithm by Papadimitriou, that solves the radial Hamilton-Jacobi
equation in the asymptotic boundary of the bulk. This paper is a short version
of the Master thesis of the author written in 2014 at the Instituto de F\'isica
Te\'orica, UAM, Madrid.
