Cover Image

Regularity for free boundary surfaces minimizing degenerate area functionals

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gasparetto, Carlo, Paiano, Filippo, Velichkov, Bozhidar
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs Differential Geometry 49Q05, 49Q10, 35R35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Nonlocal free boundary minimal surfaces
by: Badran, Marco, et al.
Published: (2025)

The boundary Harnack principle on optimal domains
by: Maiale, Francesco Paolo, et al.
Published: (2021)

Boundary regularity of the free interface in spectral optimal partition problems
by: Ognibene, Roberto, et al.
Published: (2024)

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

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

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

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)

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)

Plateau's problem via the Allen--Cahn functional
by: Guaraco, Marco A. M., et al.
Published: (2023)

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

Regularity of two-phase free boundary minimizers in periodic media
by: Abedin, Farhan, et al.
Published: (2025)

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

Removable singularities for nonlocal minimal graphs
by: Kim, Minhyun
Published: (2025)

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

Elastic bilayer membranes under confinement -- Existence, regularity, and rigidity
by: Röger, Matthias, et al.
Published: (2025)

Isoperimetric conditions, lower semicontinuity, and existence results for perimeter functionals with measure data
by: Schmidt, Thomas
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)

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

A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity
by: Krummel, Brian, et al.
Published: (2026)

Isoperimetric Bounds for Weighted Steklov Eigenvalues with Radial Weights
by: Brock, Friedemann, et al.
Published: (2025)

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

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)

Classical solutions to the soap film capillarity problem for plane boundaries
by: Bevilacqua, Giulia, et al.
Published: (2024)

Relations between principal eigenvalue and torsional rigidity with Robin boundary conditions
by: Buttazzo, Giuseppe, et al.
Published: (2025)

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

Improvement of flatness in annuli
by: Fernández-Real, Xavier, et al.
Published: (2026)

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

Flatness of anisotropic minimal graphs in $\mathbb{R}^{n+1}$
by: Du, Wenkui, et al.
Published: (2023)

Boundary deformation techniques for Neumann problems for the Helmholtz equation
by: Cañizares, Manuel
Published: (2025)

Measure and continuous vector field at a boundary II: geodesics and support propagation
by: Burq, Nicolas, et al.
Published: (2024)

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

Calibrating Forms for Minimal Graphs in Arbitrary Codimension
by: Tsai, Chung-Jun, et al.
Published: (2026)

Extensions of Schoen--Simon--Yau and Schoen--Simon theorems via iteration à la De Giorgi
by: Bellettini, Costante
Published: (2023)

On stable solutions to the Allen-Cahn equation with bounded energy density in $\mathbb{R}^4$
by: Florit-Simon, Enric, et al.
Published: (2025)

Optimal domains for the Cheeger inequality
by: Buttazzo, Giuseppe
Published: (2024)

Dynamical instability of minimal surfaces at flat singular points
by: Stuvard, Salvatore, et al.
Published: (2020)

On the optimization of the Robin eigenvalues in some classes of polygons
by: Carbotti, Alessandro, et al.
Published: (2025)

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

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

Rate independent capillary motion on a narrow Wilhelmy plate
by: Collins, Carson, et al.
Published: (2025)