Boundary value problems for surfaces of constant Gauss Curvature

DOI10.1002/cpa.3160450807zbMath0789.53002OpenAlexW2084945141MaRDI QIDQ4033797

Joel Spruck, Harold Rosenberg, David A. Hoffman

Publication date: 16 May 1993

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160450807

zbMATH Keywords

annulusprescribed boundaryconstant positive Gauss curvature

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items (13)

Compact translating solitons with non-empty planar boundary ⋮ Starshaped locally convex hypersurfaces with prescribed curvature and boundary ⋮ Complex Monge-Ampère equations and totally real submanifolds ⋮ The dirichlet problem for a class of fully nonlinear elliptic equations ⋮ Regularity of the geodesic equation in the space of Sasakian metrics ⋮ The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds ⋮ Some a priori bounds for solutions of the constant Gauss curvature equation. ⋮ Interior curvature bounds for a class of curvature equations ⋮ On the Dirichlet problem for fully nonlinear elliptic equations on annuli of metric cones ⋮ Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds ⋮ Complex Monge-Ampère equations on general domains ⋮ The Dirichlet problem for Monge-Ampère equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature ⋮ Estimates in surfaces with positive constant Gauss curvature

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