A PDE perspective on the flat chain conjecture

Published 10 Nov 2025 in math.AP | (2511.06822v1)

Abstract: This survey summarizes recent progress on the flat chain conjecture, which asserts the equivalence between metric currents and flat chains with finite mass in the Euclidean space. In particular, we focus on recent work showing that the conjecture is equivalent to a Lipschitz regularity estimate for a certain PDE.

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Andrea Marchese

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