Minimality and stability of minimal hypersurfaces in IRn

DOI10.1017/S0004972700026484zbMath0616.53048MaRDI QIDQ4725295

Fang-Hua Lin

Publication date: 1987

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

minimal hypersurfacesminimal foliationstrictly area minimizing

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

On Lawson's area-minimizing hypercones ⋮ Global minimizers of the Allen-Cahn equation in dimension \(n\geq 8\) ⋮ Minimal cones and self-expanding solutions for mean curvature flows ⋮ On a class of minimal hypersurfaces in \(\mathbb{R}^ n\)

Cites Work

• Minimal surfaces with isolated singularities
• On a class of minimal cones in $R^n$
• The Equivariant Plateau Problem and Interior Regularity
• Minimal varieties