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

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Author(s):
De Lellis, Camillo ; Nardulli, Stefano ; Steinbruechel, Simone
Total Authors: 3
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 230, p. 10-pg., 2023-02-15.
Abstract

In this paper we show that, if T is an area-minimizing 2-dimensional integral current with partial differential T = Q[Gamma], where Gamma is a C1,alpha curve for alpha > 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 (2019).(c) 2023 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 18/22938-4 - Boundary regularity for area minimizing currents
Grantee:Stefano Nardulli
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 21/05256-0 - Geometric variational problems: existence, regularity and geometrical characterization of the solutions
Grantee:Stefano Nardulli
Support Opportunities: Research Grants - Young Investigators Grants