TitleUniqueness of boundary tangent cones for 2-dimensional area-minimizing currents
Publication TypeJournal Article
Year of Publication2023
AuthorsDe Lellis C, Nardulli S, Steinbruechel S
JournalNonlinear Anal.
Volume230
Type of ArticleBoundary
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

URLhttps://doi.org/10.1016/j.na.2023.113235
DOI10.1016/j.na.2023.113235
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