Cover Image

The Hasse Principle for Geometric Variational Problems: An Illustration via Area-minimizing Submanifolds

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Liu, Zhenhua
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry Analysis of PDEs Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Riesz energies and the magnitude of manifolds
by: Gimperlein, Heiko, et al.
Published: (2024)

Area-minimizing capillary cones
by: Firester, Benjy, et al.
Published: (2026)

Embedded minimal surfaces in $\mathbb{S}^3$ and $\mathbb{B}^3$ via equivariant eigenvalue optimization
by: Karpukhin, Mikhail, et al.
Published: (2024)

Barta Theorem for the $p$-Laplacian and Geometric Applications
by: Silva, Paulo Henryque C.
Published: (2026)

Geometric eigenvalue estimates of Kuttler-Sigillito type on differential forms
by: Assali, Rodolphe Abou
Published: (2026)

Geometric spectral optimization on surfaces
by: Petrides, Romain
Published: (2024)

New minimal surfaces in the sphere from capillary minimal cones
by: Firester, Benjy, et al.
Published: (2026)

Spectral estimates for free boundary minimal surfaces via Montiel-Ros partitioning methods
by: Carlotto, Alessandro, et al.
Published: (2023)

Unique continuation for area minimizing currents
by: Brena, Camillo, et al.
Published: (2024)

Yau's conjecture for nonlocal minimal surfaces
by: Caselli, Michele, et al.
Published: (2023)

On polynomial solutions to the minimal surface equation
by: Guo, Yifan
Published: (2024)

Improved regularity for minimizing capillary hypersurfaces
by: Chodosh, Otis, et al.
Published: (2024)

Distance between minimal surfaces and flows
by: Colding, Tobias Holck, et al.
Published: (2026)

Flowing to free boundary minimal surfaces
by: Rupflin, Melanie, et al.
Published: (2026)

Generic regularity for minimizing hypersurfaces in dimension 11
by: Chodosh, Otis, et al.
Published: (2025)

$L^p$-Sobolev inequalities on minimal submanifolds
by: Balogh, Zoltán M., et al.
Published: (2024)

Allen-Cahn equation and degenerate minimal hypersurface
by: Chen, Jingwen, et al.
Published: (2024)

Regularity of minimal surfaces with capillary boundary conditions
by: De Masi, Luigi, et al.
Published: (2024)

The Dirichlet problem for the minimal surface system on smooth domains
by: Li, Caiyan, et al.
Published: (2025)

Fredholm properties of the jacobi Operator of minimal conical hypersurfaces
by: Rico, Oscar Ivan Agudelo, et al.
Published: (2025)

Equivariant constructions of spheres with Zoll families of minimal spheres
by: Ambrozio, Lucas, et al.
Published: (2025)

A half-space theorem for nonlocal minimal surfaces
by: Cozzi, Matteo, et al.
Published: (2026)

Solutions to the minimal surface system with large singular sets
by: Mooney, Connor, et al.
Published: (2024)

Generic regularity for minimizing hypersurfaces in dimensions 9 and 10
by: Chodosh, Otis, et al.
Published: (2023)

Liouville theorem for immersed minimal surfaces in any codimension
by: Colding, Tobias Holck, et al.
Published: (2026)

Non planar free boundary minimal disks into ellipsoids
by: Petrides, Romain
Published: (2023)

Entire area-minimizing surfaces in R^4 are algebraic
by: Edelen, Nick, et al.
Published: (2026)

Equivalence of intrinsic and extrinsic area bounds for minimal surfaces
by: Florit-Simon, Enric
Published: (2026)

On the non-existence of solutions of the Dirichlet problem for the minimal surface system
by: Zhang, Yongsheng
Published: (2018)

Improved generic regularity of codimension-1 minimizing integral currents
by: Chodosh, Otis, et al.
Published: (2023)

Geometry of complete minimal surfaces at infinity and the Willmore index of their inversions
by: Hirsch, Jonas, et al.
Published: (2021)

Quantitative stability of the total $Q$-curvature near minimizing metrics
by: Andrade, João Henrique, et al.
Published: (2024)

Nonlocal approximation of minimal surfaces: optimal estimates from stability
by: Chan, Hardy, et al.
Published: (2023)

Spectral asymptotics for linear elasticity with mixed boundary conditions
by: Liu, Genqian
Published: (2024)

On the uniqueness of tangent cones to area minimizing currents at boundaries with arbitrary multiplicity
by: Fleschler, Ian
Published: (2024)

Liouville theorem for minimal graphs over manifolds of nonnegative Ricci curvature
by: Ding, Qi
Published: (2024)

A Variational Approach to the Yamabe Problem: Conformal Transformations and Scalar Curvature on Compact Riemannian Manifolds
by: Chen, Aoran
Published: (2023)

Quantitative stratification for the fractional Allen-Cahn equation and stationary nonlocal minimal surface
by: Wang, Kelei, et al.
Published: (2025)

Hausdorff measure bounds for density-$Q$ flat singularities of minimizing integral currents
by: Caldini, Gianmarco, et al.
Published: (2025)

Bernstein and half-space properties for minimal graphs under Ricci lower bounds
by: Colombo, Giulio, et al.
Published: (2019)