Boundary regularity of mass-minimizing integral currents and a question of Almgren
From MaRDI portal
Publication:2001227
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
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
- đ-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 TwoâDimensional AlmostâMinimizing Currents
- On boundary regularity for Plateau's problem
- Boundary regularity and embedded solutions for the oriented Plateau problem