Regularity of minimal hypersurfaces with a common free boundary

DOI10.1007/s00526-013-0685-6zbMath1307.53046arXiv1309.6245OpenAlexW2963718737MaRDI QIDQ471088

Brian Krummel

Publication date: 13 November 2014

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6245

zbMATH Keywords

hypersurfacevarifoldcommon boundary

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (6)

The singular set of minimal surfaces near polyhedral cones ⋮ Stable branched minimal immersions with prescribed boundary ⋮ Curvature estimates for stable minimal surfaces with a common free boundary ⋮ The structure of stable codimension one integral varifolds near classical cones of density \(Q+1/2\) ⋮ A local regularity theorem for mean curvature flow with triple edges ⋮ Regularity of minimal submanifolds and mean curvature flows with a common free boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cylindrical tangent cones and the singular set of minimal submanifolds
• A general regularity theory for stable codimension 1 integral varifolds
• Asymptotic behavior and uniqueness of plane subsonic flows
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

This page was built for publication: Regularity of minimal hypersurfaces with a common free boundary