An interior curvature bound for hypersurfaces of prescribed k-th mean curvature

DOI10.1515/crll.2000.016zbMath0959.53031OpenAlexW2103362680MaRDI QIDQ4942701

John I. E. Urbas

Publication date: 10 May 2000

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2000.016

zbMATH Keywords

Dirichlet problemhypersurfaces\(k\)th mean curvature

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Elliptic equations on manifolds, general theory (58J05) Global submanifolds (53C40)

Related Items (5)

The Dirichlet problem for degenerate curvature equations ⋮ The harmonic mean curvature flow of nonconvex surfaces in \({\mathbb{R}^3}\) ⋮ On the second boundary value problem for special Lagrangian curvature potential equation ⋮ Curvature estimates for a class of Hessian quotient type curvature equations ⋮ Interior curvature bounds for a class of curvature equations

Cites Work

• Unnamed Item
• Regularity theory for quasilinear elliptic systems and Monge-Ampère equations in two dimensions

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