Global regularity for minimal graphs over convex domains in hyperbolic space

DOI10.1016/j.jde.2020.09.025zbMath1458.35212arXiv1908.06397OpenAlexW3089142504MaRDI QIDQ2214711

You Li, Huai-Yu Jian

Publication date: 10 December 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06397

zbMATH Keywords

Dirichlet problemglobal regularitymean curvature operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (1)

Optimal global regularity for minimal graphs over convex domains in hyperbolic space

Cites Work

• Optimal regularity of minimal graphs in the hyperbolic space
• Complete minimal hypersurfaces in hyperbolic n-manifolds
• On the Dirichlet problem for minimal graphs in hyperbolic space
• Multidimensional shock interaction for a Chaplygin gas
• Complete minimal varieties in hyperbolic space
• Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space
• Optimal boundary regularity for a singular Monge-Ampère equation
• Existence and regularity of constant mean curvature hypersurfaces in hyperbolic space
• Asymptotic behavior of area‐minimizing currents in hyperbolic space
• Hypersurfaces of constant mean curvature in hyperbolic space with prescribed asymptotic boundary at infinity

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