Hölder regularity at the boundary of two-dimensional sliding almost minimal sets

DOI10.1515/acv-2015-0030zbMath1385.49026arXiv1504.03861OpenAlexW2963532939MaRDI QIDQ1693057

Yangqin Fang

Publication date: 11 January 2018

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

Full work available at URL: https://arxiv.org/abs/1504.03861

zbMATH Keywords

Hausdorff measureminimal setsminimal cones

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Existence theories in calculus of variations and optimal control (49J99)

Related Items (2)

A local description of 2-dimensional almost minimal sets bounded by a curve ⋮ Local 𝐶^{1,𝛽}-regularity at the boundary of two dimensional sliding almost minimal sets in ℝ³

Cites Work

• \(C^{1+\alpha}\)-regularity for two-dimensional almost-minimal sets in \(\mathbb R^n\)
• Comparison of singular and Čech homology in locally connected spaces
• A direct approach to Plateau's problem in any codimension
• A generalization of Reifenberg's theorem in \({\mathbb{R}}^3\)
• Hölder regularity of two-dimensional almost-minimal sets in \(\mathbb R^n\)
• The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
• A direct approach to Plateau's problem
• Should we solve Plateau's problem again?
• Boundary regularlty for solutions to various capillarity and free boundary problems
• Local Regularity Properties of Almost and Quasiminimal sets with a Sliding Boundary Condition
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