Existence of minimizers for the Reifenberg Plateau problem

DOI10.2422/2036-2145.201407_008zbMath1362.49024arXiv1310.4690OpenAlexW2963048388MaRDI QIDQ2957551

Yangqin Fang

Publication date: 26 January 2017

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4690

zbMATH Keywords

Hausdorff measuresarea problemsReifenberg-Plateau problemsurface problems

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Optimality conditions (49K99)

Related Items (13)

Solution of the Kirchhoff-Plateau problem ⋮ A local description of 2-dimensional almost minimal sets bounded by a curve ⋮ Existence of solutions to a general geometric elliptic variational problem ⋮ On the equality between the infima obtained by solving various Plateau's problems ⋮ Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone ⋮ Symmetry and rigidity of minimal surfaces with Plateau-like singularities ⋮ Weak limits of quasiminimizing sequences ⋮ A direct approach to the anisotropic Plateau problem ⋮ Existence results for minimizers of parametric elliptic functionals ⋮ A direct approach to Plateau's problem ⋮ On the convergence of almost minimal sets for the Hausdorff and varifold topologies ⋮ Solutions of the (free boundary) Reifenberg Plateau problem ⋮ Plateau's Problem as a Singular Limit of Capillarity Problems

This page was built for publication: Existence of minimizers for the Reifenberg Plateau problem