Title | Area minimizing currents mod $2Q$: linear regularity theory |
Publication Type | Journal Article |
Year of Publication | 2022 |
Authors | De Lellis C., Hirsch J., Marchese A., Stuvard S. |
Journal | Comm. Pure Appl. Math. |
Volume | 75 |
Start Page | 83 |
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 | Comm. Pure Appl. Math. 75 (2022), no. 1, 83-127 |
URL | https://doi.org/10.1002/cpa.21964 |
DOI | 10.1002/cpa.21964 |
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