Interior curvature estimates for hypersurfaces of prescribed mean curvature

DOI10.1016/S0294-1449(16)30318-3zbMath0683.53007OpenAlexW312642449MaRDI QIDQ1824866

Klaus Ecker, Gerhard Huisken

Publication date: 1989

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1989__6_4_251_0

zbMATH Keywords

curvature estimatesprescribed mean curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (9)

Curvature estimates for submanifolds with prescribed Gauss image and mean curvature ⋮ Curvature estimates for minimal hypersurfaces in singular spaces ⋮ Gradient estimates for mean curvature flow with Neumann boundary conditions ⋮ A curve shortening equation with time-dependent mobility related to grain boundary motions ⋮ Mean curvature flow of graphs with Neumann boundary conditions ⋮ Caccioppoli's inequalities on constant mean curvature hypersurfaces in Riemannian manifolds ⋮ Curvature estimates for graphs with prescribed mean curvature and flat normal bundle ⋮ Curvature estimates for surfaces with bounded mean curvature ⋮ Estimates for stable hypersurfaces of prescribed \(F\)-mean curvature

Cites Work

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• Local estimates for gradients of solutions of non‐uniformly elliptic and parabolic equations
• A New Proof of the Interior Gradient Bound for the Minimal Surface Equation in n Dimensions
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