Title Area minimizing currents mod $2Q$: linear regularity theory Publication Type Journal Article Authors De Lellis C., Hirsch J., Marchese A., Stuvard S. Type of Article Q-valued Keywords area minimizing currents $\modp$, Dirichlet integral, linearization., Minimal surfaces, multiple valued functions, regularity theory 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 $\modp$ when $p=2Q$, and to establish a first general partial regularity theorem for every $p$ in any dimension and codimension. Notes To appear in Communications on Pure and Applied Mathematics
Order:
7