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arXiv · 1909.03305

Area minimizing currents mod $2Q$: linear regularity theory

Camillo De Lellis·Jonas Hirsch·Andrea Marchese·Salvatore Stuvard
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Abstract

We establish a theory of $Q$-valued functions minimizing a suitable generalization of the Dirichlet integral. In a second paper the theory will be used to approximate efficiently area minimizing currents $\mathrm{mod}(p)$ when $p=2Q$, and to establish a first general partial regularity theorem for every $p$ in any dimension and codimension.

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Camillo De Lellis, Jonas Hirsch, Andrea Marchese, Salvatore Stuvard. 2020-08-24. Area minimizing currents mod $2Q$: linear regularity theory. https://doi.org/10.1002/cpa.21964

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