Allard’s regularity theorem

Title: A short proof of Allard’s and Brakke’s regularity theorems Authors: Guido De Philippis, Carlo Gasparetto, Felix Schulze Categories: math.AP math.DG \\ We give new short proofs of Allard’s regularity theorem for varifolds with bounded first variation and Brakke’s regularity theorem for integral Brakke flows with bounded forcing. They are based on a decay of flatness, following from weighted versions of the respective monotonicity formulas, together with a characterization of non-homogeneous blow-ups using the viscosity approach introduced by Savin. \\ … Continue reading “A short proof of Allard’s and Brakke’s regularity theorems”