Calculus of Variations and Geometric Measure Theory

A. Cesaroni - H. Kröner - M. Novaga

Graphical translators for anisotropic and crystalline mean curvature flow

created by novaga on 26 Jul 2021
modified on 14 Feb 2023


Published Paper

Inserted: 26 jul 2021
Last Updated: 14 feb 2023

Journal: J. Math. Anal. Appl.
Volume: 514
Number: 2
Pages: Paper No. 126314
Year: 2022

ArXiv: 2107.12082 PDF


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.