An extremal case of the equation of prescribed Weingarten curvature

DOI10.1007/S00526-012-0546-8zbMath1282.35168OpenAlexW2070274828WikidataQ115387472 ScholiaQ115387472MaRDI QIDQ376587

James N. Holland

Publication date: 5 November 2013

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

Full work available at URL: https://doi.org/10.1007/s00526-012-0546-8

zbMATH Keywords

Dirichlet problemGaussian curvature problemHessian quotient equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Surfaces in Euclidean and related spaces (53A05)

Cites Work

• Unnamed Item
• Convex hypersurfaces of prescribed Weingarten curvatures
• A priori bounds and necessary conditions for solvability of prescribed curvature equations
• The equation of prescribed Gauss curvature without boundary conditions
• Boundary regularity for solutions of the equation of prescribed Gauss curvature
• On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions
• The Dirichlet problem for Hessian equations on Riemannian manifolds
• The Dirichlet problem for the prescribed curvature quotient equations
• The Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation
• Minkowski problems for complete noncompact convex hypersurfaces
• Centro-Affine Invariants for Smooth Convex Bodies
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• Elliptic Partial Differential Equations of Second Order
• The dirichlet problem for a class of fully nonlinear elliptic equations

This page was built for publication: An extremal case of the equation of prescribed Weingarten curvature