| Title | Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation |
| Publication Type | Journal Article |
| Year of Publication | 2018 |
| Authors | De Lellis C., Spadaro E., Spolaor L. |
| Journal | Transactions of the American Mathematical Society |
| Volume | 370 |
| Pagination | 1783–1801 |
| Publisher | American Mathematical Society |
| Type of Article | Interior regularity |
| ISSN | 0002-9947 |
| Abstract | We construct Lipschitz Q-valued functions which carefully approximate integral currents when their cylindrical excess is small and they are almost minimizing in a suitable sense. This result is used in two subsequent works to prove the discreteness of the singular set for the following three classes of 2-dimensional integral currents: area minimizing in Riemannian manifolds, semicalibrated and spherical cross sections of 3-dimensional area minimizing cones. |
| Notes | Trans. Amer. Math. Soc. 370 (2018), no. 3, 1783–1801 |
| URL | https://www.ams.org/journals/tran/2018-370-03/S0002-9947-2017-06995-6/ |
| DOI | 10.1090/tran/6995 |
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