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
Area-Minimizing Currents mod 2Q: Linear Regularity Theory
De Lellis, C.;
2022-01-01
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 . (c) 2020 The Authors. Communications on Pure and Applied Mathematics published by Wiley Periodicals LLCFile in questo prodotto:
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