A remark on the mean curvature of a graph-like hypersurface in hyperbolic space

DOI10.1016/J.JMAA.2004.11.032zbMath1331.53013OpenAlexW1981116445MaRDI QIDQ1773306

Zonglao Zhang

Publication date: 28 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.11.032

zbMATH Keywords

partial differential equationhyperbolic spacemean curvaturegraph-like hypersurface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Nonlinear elliptic equations (35J60)

Related Items (4)

Entire radially symmetric graphs with prescribed mean curvature in warped product spaces ⋮ A survey on curvatures of Hessian manifolds ⋮ On the mean curvature of semi-Riemannian graphs in semi-Riemannian warped products ⋮ Warping functions of some warped products

Cites Work

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• Function theory on manifolds which possess a pole
• Existence of prescribed mean curvature graphs in hyperbolic space
• Existence of constant mean curvature graphs in hyperbolic space
• Hypersurfaces of constant mean curvature in hyperbolic space with prescribed asymptotic boundary at infinity

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