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

Publication Type | Journal Article |

Authors | De Lellis C., Hirsch J., Marchese A., Stuvard S. |

Type of Article | Q-valued |

Keywords | area minimizing currents $\modp$, Dirichlet integral, linearization., Minimal surfaces, multiple valued functions, regularity theory |

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 $\modp$ when $p=2Q$, and to establish a first general partial regularity theorem for every $p$ in any dimension and codimension. |

Notes | To appear in Communications on Pure and Applied Mathematics |

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