Compactness for immersions of prescribed Gaussian curvature. II: Geometric aspects

DOI10.1007/s10711-013-9921-7zbMath1304.53061arXiv1002.2982OpenAlexW2108082706MaRDI QIDQ464252

J. Herrera, D. Rodríguez-Gómez

Publication date: 17 October 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2982

zbMATH Keywords

Monge-Ampère equationGaussian curvaturePlateau problemnon-linear elliptic PDEs

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

Starshaped locally convex hypersurfaces with prescribed curvature and boundary ⋮ The Plateau problem for convex curvature functions ⋮ Special Lagrangian curvature ⋮ Compactness results for immersions of prescribed Gaussian curvature. I: Analytic aspects ⋮ Hyperbolic Plateau problems

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