Title | Uniqueness of boundary tangent cones for 2-dimensional area-minimizing currents |
Publication Type | Journal Article |
Year of Publication | 2023 |
Authors | De Lellis C, Nardulli S, Steinbruechel S |
Journal | Nonlinear Anal. |
Volume | 230 |
Type of Article | Boundary |
Abstract | In this paper we show that, if T is an area-minimizing 2-dimensional integral current with ∂T=Q\aΓ, where Γ is a C1,α curve for α>0 and Q an arbitrary integer, then T has a unique tangent cone at every boundary point, with a polynomial convergence rate. The proof is a simple reduction to the case Q=1, studied by Hirsch and Marini in [8]. |
Notes | Nonlinear Anal. 230 (2023), no. 113235, 10 pp. Volume in honor of Emmanuele DiBenedetto |
URL | https://doi.org/10.1016/j.na.2023.113235 |
DOI | 10.1016/j.na.2023.113235 |
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