Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities

Giovanni Bellettini, Antonin Chambolle, Shokhrukh Yu. Kholmatov

Under suitable assumptions on the family of anisotropies, we prove the existence of a weak global $\frac{1}{n+1}$-Hölder continuous in time mean curvature flow with mobilities of a…