Minimal graphs in \(\mathbb H^n\times \mathbb R\) and \(\mathbb R^{n+1}\)

DOI10.5802/aif.2611zbMath1225.53060arXiv0908.4170OpenAlexW2315959285MaRDI QIDQ717800

Eric Toubiana, Ricardo Sa Earp

Publication date: 6 October 2011

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.4170

zbMATH Keywords

Dirichlet problemconvex domainbarriertranslation hypersurfacevertical graphasymptotic boundaryminimal equationPerron processScherk hypersurface

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Existence of vertical ends of mean curvature $1/2$ in $\mathbb{H}^{2} ×\mathbb{R}$, A minimal stable vertical planar end in ℍ²× ℝ has finite total curvature, Minimal hypersurfaces in \(\mathbb {H}^n \times \mathbb {R}\), total curvature and index, Concentration of total curvature of minimal surfaces in \(\mathbb {H}^2\times \mathbb R\), Compact minimal vertical graphs with non-connected boundary in \(\mathbb{H}^{n}\times\mathbb{R}\), Constructions of \(H_r\)-hypersurfaces, barriers and Alexandrov theorem in \(\mathbb H^n\times\mathbb R\), All solutions of the CMC-equation in \({\mathbb H^n\times\mathbb R}\) invariant by parabolic screw motion, Minimal graphs in \(\mathrm{Nil}_3:\) existence and non-existence results, Classical Schwarz reflection principle for Jenkins-Serrin type minimal surfaces

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