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Area-Minimizing Currents mod 2Q: Linear Regularity Theory

delete2020-11-30
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C
Camillo De Lellis *
J
Jonas Hirsch
A
Andrea Marchese
S
Salvatore Stuvard
DOI:10.1002/cpa.21964delete
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Abstract

Abstract

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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 mod(p) when p = 2Q, and to establish a first general partial regularity theorem for every p in any dimension and codimension . (c) 2020 The Authors. Communications on Pure and Applied Mathematics published by Wiley Periodicals LLC
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Communications on Pure and Applied Mathematics cover
Communications on Pure and Applied Mathematics
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