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.
Area minimizing currents mod 2Q: linear regularity theory / De Lellis, Camillo; Hirsch, Jonas; Marchese, Andrea; Stuvard, Salvatore. - In: COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. - ISSN 0010-3640. - 2020, 75:1(2020), pp. 83-127. [10.1002/cpa.21964]
Area minimizing currents mod 2Q: linear regularity theory
Andrea Marchese;
2020-01-01
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 mod(p) when p = 2Q, and to establish a first general partial regularity theorem for every p in any dimension and codimension.File in questo prodotto:
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Comm Pure Appl Math - 2020 - De Lellis - Area‐Minimizing Currents mod 2Q Linear Regularity Theory.pdf
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