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

DOI10.1016/j.na.2023.113235OpenAlexW3209595350MaRDI QIDQ2693991

Camillo De Lellis, Simone Steinbrüchel, Stefano Nardulli

Publication date: 24 March 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.02981

zbMATH Keywords

regularity theoryboundaryarea minimizing currents

Mathematics Subject Classification ID

Classical measure theory (28Axx) Global differential geometry (53Cxx) Manifolds and measure-geometric topics (49Qxx)

Related Items

Boundary regularity for anisotropic minimal Lipschitz graphs ⋮ An upper Minkowski dimension estimate for the interior singular set of area minimizing currents

Cites Work

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• Tangent cones to two-dimensional area-minimizing integral currents are unique
• Uniqueness of tangent cones for semicalibrated integral 2-cycles
• On the first variation of a varifold: Boundary behavior
• Two Dimensional Area Minimizing Integral Currents are Classical Minimal Surfaces
• Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents