Hypersurfaces of constant curvature in hyperbolic space II

DOI10.4171/JEMS/215zbMath1197.53066arXiv0810.1781MaRDI QIDQ973865

Bo Guan, Joel Spruck

Publication date: 26 May 2010

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1781

zbMATH Keywords

hyperbolic spacesnonlinear singular boundary value problemshypersurfaces constant curvature

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Global submanifolds (53C40) Boundary value problems on manifolds (58J32)

Related Items (13)

Curvature flow of complete convex hypersurfaces in hyperbolic space ⋮ Curvature estimates of hypersurfaces in the Minkowski space ⋮ On the asymptotic Plateau problem in hyperbolic space ⋮ Curvature flow of complete hypersurfaces in hyperbolic space ⋮ Compactness results for immersions of prescribed Gaussian curvature. I: Analytic aspects ⋮ Quantitative stability for hypersurfaces with almost constant mean curvature in the hyperbolic space ⋮ Unnamed Item ⋮ Convex hypersurfaces with prescribed scalar curvature and asymptotic boundary in hyperbolic space ⋮ Existence of viscosity solutions for Hessian equations in exterior domains ⋮ Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds ⋮ Optimal regularity of constant curvature graphs in hyperbolic space ⋮ Hypersurfaces of constant curvature in hyperbolic space. I ⋮ Smooth solutions to asymptotic plateau type problem in hyperbolic space

Cites Work

• Hypersurfaces of constant curvature in hyperbolic space. I
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• On the existence of convex hypersurfaces of constant Gauss curvature in hyperbolic space
• Locally convex hypersurfaces of constant curvature with boundary
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• Nonlinear second-order elliptic equations V. The dirichlet problem for weingarten hypersurfaces
• Hypersurfaces of constant mean curvature in hyperbolic space with prescribed asymptotic boundary at infinity
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• Unnamed Item

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