On a Crystalline Variational Problem, Part I:¶First Variation and Global L∞ Regularity

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The volume preserving crystalline mean curvature flow of convex sets in R^N (2009, unknown): “Since it solves (Pλ,ε,δ), we have that divnε,δ ≤ λ on ∂Dε,δ [10].”
The anisotropic total variation flow (2005, background): “Giga andY. Giga ([32], [33]) who studied a viscosity solution formulation in the two dimensional case, the work of Bellettini, Novaga and Paolini ([18], [ 19 ], [20], [21]) whose approach is based on the relative geometry induced by the anisotropy, and a different approach based on the concept of ge”