Boundary regularity of mass-minimizing integral currents and a question of Almgren

DOI10.1007/978-3-030-04161-8_14zbMath1417.53068arXiv1802.07496OpenAlexW2963767046MaRDI QIDQ2001227

Jonas Hirsch, Camillo De Lellis, Annalisa Massaccesi, Guido De Philippis

Publication date: 2 July 2019

Full work available at URL: https://arxiv.org/abs/1802.07496

zbMATH Keywords

area-minimizing currents

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Differential geometric aspects of harmonic maps (53C43)

Related Items

A local description of 2-dimensional almost minimal sets bounded by a curve, Boundary regularity of minimal oriented hypersurfaces on a manifold, On the Boundary Behavior of Mass-Minimizing Integral Currents, An upper Minkowski dimension estimate for the interior singular set of area minimizing currents, Boundary regularity of mass-minimizing integral currents and a question of Almgren

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity of area minimizing currents. II: Center manifold
• Regularity of area minimizing currents. III: Blow-up
• Regularity of area minimizing currents I: gradient \(L^p\) estimates
• Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps
• On the oriented Plateau problem
• On the first variation of a varifold: Boundary behavior
• Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold
• Boundary regularity of mass-minimizing integral currents and a question of Almgren
• Almgren's type regularity for semicalibrated currents
• Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
• Minimal varieties in Riemannian manifolds
• Minimal cones and the Bernstein problem
• Normal and integral currents
• Multiple valued functions and integral currents
• Boundary regularity of Dirichlet minimizing Q-valued functions
• 𝑄-valued functions revisited
• Two Dimensional Area Minimizing Integral Currents are Classical Minimal Surfaces
• On boundary regularity for integral currents or flat chains modulo two minimizing the integral of an elliptic integrand
• Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation
• Examples of holomorphic functions vanishing to infinite order at the boundary
• Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents
• On boundary regularity for Plateau's problem
• Boundary regularity and embedded solutions for the oriented Plateau problem