Area‐Minimizing Currents mod 2Q: Linear Regularity Theory

Area‐Minimizing Currents mod 2Q: Linear Regularity Theory

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...

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Veröffentlicht in:Communications on pure and applied mathematics 2022-01, Vol.75 (1), p.83-127
Hauptverfasser: De Lellis, Camillo, Hirsch, Jonas, Marchese, Andrea, Stuvard, Salvatore
Format: Artikel
Sprache:eng
Schlagworte:
Dirichlet problem
Regularity
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Zusammenfassung: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 . © 2020 Wiley Periodicals LLC.
ISSN:0010-3640
1097-0312
DOI:10.1002/cpa.21964