A direct approach to the anisotropic Plateau problem

DOI10.1515/ACV-2016-0057zbMath1416.49051arXiv1602.08757OpenAlexW2964278300MaRDI QIDQ1739069

Francesco Ghiraldin, Antonio De Rosa, Camillo De Lellis

Publication date: 24 April 2019

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08757

zbMATH Keywords

ellipticityanisotropic Plateau problem

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (13)

Regularity of almost-minimizers of Hölder-coefficient surface energies ⋮ On the anisotropic Kirchhoff-Plateau problem ⋮ Epsilon-regularity for Griffith almost-minimizers in any dimension under a separating condition ⋮ Boundary regularity for anisotropic minimal Lipschitz graphs ⋮ The regularity theory for the area functional (in geometric measure theory) ⋮ Partial differential equations. Abstracts from the workshop held July 25--31, 2021 (hybrid meeting) ⋮ Symmetry and rigidity of minimal surfaces with Plateau-like singularities ⋮ Weak limits of quasiminimizing sequences ⋮ Existence results for minimizers of parametric elliptic functionals ⋮ Absence of bubbling phenomena for non-convex anisotropic nearly umbilical and quasi-Einstein hypersurfaces ⋮ Regularity for graphs with bounded anisotropic mean curvature ⋮ Solutions of the (free boundary) Reifenberg Plateau problem ⋮ Plateau's Problem as a Singular Limit of Capillarity Problems

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