The non-linear Plateau problem in non-positively curved manifolds

DOI10.1090/S0002-9947-2012-05647-9zbMath1270.58014arXiv1004.0374OpenAlexW2591721080MaRDI QIDQ4915129

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Publication date: 16 April 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0374

zbMATH Keywords

Dirichlet problemnon-linear elliptic PDEsspecial Lagrangian curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32)

Related Items (3)

The Plateau problem for convex curvature functions ⋮ Special Lagrangian curvature ⋮ Pseudoconvexity for the special Lagrangian potential equation

Cites Work

• Unnamed Item
• Cosmological time versus CMC time in spacetimes of constant curvature
• Moduli of flat conformal structures of hyperbolic type
• Topology of Riemannian submanifolds with prescribed boundary
• A Morse lemma for convex surfaces
• The existence of hypersurfaces of constant Gauss curvature with prescribed boundary.
• Special Lagrangian curvature
• On locally convex hypersurfaces with boundary
• Riemannian Geometry

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