Uniqueness of boundary tangent cones for 2-dimensional area-minimizing currents

نویسندگان

چکیده

In this paper we show that, if T is an area-minimizing 2-dimensional integral current with ∂T=Q〚Γ〛, where Γ a C1,α curve for α>0 and Q arbitrary integer, then has unique tangent cone at every boundary point, polynomial convergence rate. The proof simple reduction to the case Q=1, studied by Hirsch Marini (2019).

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ژورنال

عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications

سال: 2023

ISSN: ['1873-5215', '0362-546X']

DOI: https://doi.org/10.1016/j.na.2023.113235