Calculus of Variations and Geometric Measure Theory

A. Marchese

A PDE perspective on the flat chain conjecture

created by marchese on 29 Sep 2025
modified on 01 Dec 2025

[BibTeX]

Proceedings

Inserted: 29 sep 2025
Last Updated: 1 dec 2025

Year: 2025

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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