Spacelike hypersurfaces of prescribed Gauss-Kronecker curvature in exterior domains

DOI10.1007/s10114-008-6010-1zbMath1187.53018OpenAlexW2093255105MaRDI QIDQ1034273

Yong Huang, Ning Su, Huai-Yu Jian

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6010-1

zbMATH Keywords

Minkowski spaceGauss-Kronecker curvatureMonge-Ampère type equation

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (4)

Curvature estimates of hypersurfaces in the Minkowski space ⋮ Spectrum, bifurcation and hypersurfaces of prescribed k-th mean curvature in Minkowski space ⋮ Rotational \(K^{\alpha}\)-translators in Minkowski space ⋮ Exterior Dirichlet problem for translating solutions of Gauss curvature flow in Minkowski space

Cites Work

• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• The Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space
• The Monge-Ampère equation with infinite boundary value
• Hypersurfaces of prescribed Gauß curvature in exterior domains
• Translating solitons of mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
• Gauss maps of spacelike constant mean curvature hypersurfaces of Minkowski space
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• The Dirichlet problem for Monge-Ampère equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature
• Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space

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