  We construct Kahler-Einstein metrics with negative scalar curvature near an
isolated log canonical (non-log terminal) singularity. Such metrics are
complete near the singularity if the underlying space has complex dimension 2
or if the singularity is smoothable. In complex dimension 2, we show that any
complete Kahler-Einstein metric of negative scalar curvature near an isolated
log canonical (non-log terminal) singularity is smoothly asymptotically close
to one of the model metrics constructed by Kobayashi and Nakamura arising from
hyperbolic geometry.
