Area‐Minimizing Currents mod 2<i>Q</i>: Linear Regularity Theory
Camillo De Lellis, Jonas Hirsch, Andrea Marchese, Salvatore Stuvard
Abstract
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 m od ( p ) when p = 2 Q , and to establish a first general partial regularity theorem for every p in any dimension and codimension . © 2020 The Authors. Communications on Pure and Applied Mathematics published by Wiley Periodicals LLC.
Topics & Concepts
MathematicsCodimensionGeneralizationDimension (graph theory)ModDirichlet distributionAnalytic number theoryPotential theoryDiscrete mathematicsPure mathematicsMathematical analysisBoundary value problemNonlinear Partial Differential EquationsMathematical Approximation and IntegrationAnalytic and geometric function theory