A strong maximum principle for singular minimal hypersurfaces
From MaRDI portal
Publication:1921334
DOI10.1007/BF01246151zbMath0863.49030MaRDI QIDQ1921334
Publication date: 20 May 1997
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
strong maximum principleminimal hypersurfacesvarifoldsextrinsic Harnack inequalitysingular stationary hypersurfaces
Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)
Related Items (26)
Ancient asymptotically cylindrical flows and applications ⋮ Evolution of spoon-shaped networks ⋮ Min-max minimal hypersurfaces with obstacle ⋮ Equilibrium solutions to generalized motion by mean curvature ⋮ The symmetric minimal surface equation ⋮ A barrier principle at infinity for varifolds with bounded mean curvature ⋮ Moving plane method for varifolds and applications ⋮ Multiplicity‐1 minmax minimal hypersurfaces in manifolds with positive Ricci curvature ⋮ Existence of multiple closed CMC hypersurfaces with small mean curvature ⋮ Mean convex smoothing of mean convex cones ⋮ Stable minimal hypersurfaces in \(\mathbb{R}^{N+1+\ell}\) with singular set an arbitrary closed \(K\subset\{0\}\times\mathbb{R}^{\ell}\) ⋮ The area minimizing problem in conformal cones. I ⋮ A sharp strong maximum principle and a sharp unique continuation theorem for singular minimal hypersurfaces ⋮ A general regularity theory for stable codimension 1 integral varifolds ⋮ Pointwise differentiability of higher order for sets ⋮ Minimal cones and self-expanding solutions for mean curvature flows ⋮ First stability eigenvalue of singular minimal hypersurfaces in spheres ⋮ Translating solitons 𝐶¹-asymptotic to two half-hyperplanes ⋮ Continuity results for TV-minimizers ⋮ Minimal hypersurfaces in the product of two spheres with index one ⋮ Unnamed Item ⋮ Compactness of certain class of singular minimal hypersurfaces ⋮ Curvature estimates and sheeting theorems for weakly stable CMC hypersurfaces ⋮ A Liouville-type theorem for stable minimal hypersurfaces ⋮ On the strong maximum principle and the large time behavior of generalized mean curvature flow with the Neumann boundary condition ⋮ Enclosure and non-existence theorems for area stationary currents and currents with mean curvature vector
Cites Work
- A strict maximum principle for area minimizing hypersurfaces
- Harnack's inequality for elliptic differential equations on minimal surfaces
- Regularity of stable minimal hypersurfaces
- Elliptic regularization and partial regularity for motion by mean curvature
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A strong maximum principle for singular minimal hypersurfaces