  In this paper we discuss existence, uniqueness and some properties of a class
of solitons to the anisotropic mean curvature flow, i.e., graphical
translators, either in the plane or under an assumption of cylindrical symmetry
on the anisotropy and the mobility. In these cases, the equation becomes an
ordinary differential equation, and this allows to find explicitly the
translators and describe their main features.

Analysis of PDEs