Cover Image

Minimal laminations and level sets of 1-harmonic functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Backus, Aidan
Format:	Preprint
Published:	2023
Subjects:	Analysis of PDEs Differential Geometry 49Q20, 49Q05, 51F30
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The max flow/min cut theorem for currents and laminations
by: Backus, Aidan
Published: (2025)

Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds
by: De Rosa, Antonio, et al.
Published: (2023)

Boundary regularity for anisotropic minimal Lipschitz graphs
by: De Rosa, Antonio, et al.
Published: (2023)

Excess decay for minimizing hypercurrents mod $2Q$
by: De Lellis, Camillo, et al.
Published: (2023)

Structure of two-dimensional mod$(q)$ area-minimizing currents near flat singularities: the codimension one case
by: Skorobogatova, Anna, et al.
Published: (2025)

On the regularity of area minimizing currents at boundaries with arbitrary multiplicity
by: Fleschler, Ian, et al.
Published: (2024)

Interior regularity of area minimizing currents within a $C^{2,α}$-submanifold
by: Nardulli, Stefano, et al.
Published: (2024)

Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem
by: De Lellis, Camillo, et al.
Published: (2021)

On Polyconvexity and Almgren Uniform Ellipticity With Respect to Polyhedral Test Pairs
by: Lesniak, Maciej
Published: (2025)

An $\infty$-Laplacian for differential forms, and calibrated laminations
by: Backus, Aidan
Published: (2024)

Construction of fillings with prescribed Gaussian image and applications
by: De Rosa, Antonio, et al.
Published: (2024)

The double and triple bubble problem for stationary varifolds: the convex case
by: De Rosa, Antonio, et al.
Published: (2023)

Rigidity of critical points of hydrophobic capillary functionals
by: De Rosa, Antonio, et al.
Published: (2025)

Regularity for free boundary surfaces minimizing degenerate area functionals
by: Gasparetto, Carlo, et al.
Published: (2025)

The canonical lamination calibrated by a cohomology class
by: Backus, Aidan
Published: (2024)

Prescribed mean curvature hypersurfaces in conformal product manifolds
by: Gao, Qiang, et al.
Published: (2024)

Euler's elastica functional as a large mass limit of a two-dimensional non-local isoperimetric problem
by: Muratov, Cyrill B., et al.
Published: (2025)

Generic regularity of isoperimetric regions in dimension eight
by: Marshall-Stevens, Kobe, et al.
Published: (2025)

A novel way of computing the shape derivative for a class of non-smooth PDEs and its impact on deriving necessary conditions for locally optimal shapes
by: Betz, Livia
Published: (2025)

Minimally singular functions and the rigidity problem for Steiner's perimeter inequality
by: Perugini, Matteo
Published: (2024)

Density of the boundary regular set of 2d area minimizing currents with arbitrary codimension and multiplicity
by: Nardulli, Stefano, et al.
Published: (2022)

On the Steiner tree connecting a fractal set
by: Paolini, Emanuele, et al.
Published: (2023)

Minimal surfaces near Hardt-Simon foliations
by: Nandakumaran, Vishnu
Published: (2024)

Fine Structure of Singularities in Area-Minimizing Currents Mod$(q)$
by: De Lellis, Camillo, et al.
Published: (2024)

Dimension of the singular set for $2$-valued stationary Lipschitz graphs
by: Hirsch, Jonas, et al.
Published: (2023)

The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$
by: De Lellis, Camillo, et al.
Published: (2023)

The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and $\mathcal{H}^{m-2}$-a.e. Uniqueness of Tangent Cones
by: De Lellis, Camillo, et al.
Published: (2023)

Existence and nonexistence results for a nonlocal isoperimetric problem on $\mathbb{H}^n$
by: Li, Haizhong, et al.
Published: (2025)

Perpendicularity and Locality for Codimension-One Varifolds with Bounded Anisotropic Mean Curvature
by: Kolasiński, Sławomir, et al.
Published: (2026)

The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points
by: De Lellis, Camillo, et al.
Published: (2023)

On Alan Schoen's I-WP Minimal Surface
by: Lee, Dami, et al.
Published: (2023)

A refined Lusin type theorem for gradients
by: De Masi, Luigi, et al.
Published: (2024)

Existence of monotone Morse flow lines of the expander functional
by: Bernstein, Jacob, et al.
Published: (2024)

$C^{1,1}$-rectifiability and Heintze-Karcher inequality on $\mathbf{S}^{n+1}$
by: Zhang, Xuwen
Published: (2021)

Absolute continuity of Wasserstein barycenters on manifolds with a lower Ricci curvature bound
by: Ma, Jianyu
Published: (2023)

Multiplicity of solutions for Gross-Pitaevskii equations on Riemannian manifolds
by: Corona, Dario, et al.
Published: (2025)

Remarks on the relative isoperimetric profile of polygonal domains in $\mathbb{R}^2$
by: DeVito, Jason, et al.
Published: (2026)

The Newton's problem assuming non-constant density of the fluid
by: López, Rafael
Published: (2026)

Newton's problem of minimal resistance in Lorentz-Minkowski space
by: López, Rafael
Published: (2026)

Lipschitz approximation for general almost area minimizing currents
by: Resende, Reinaldo
Published: (2023)