Liouville type theorems for the minimal surface equation in half space

DOI10.1016/j.jde.2021.10.019zbMath1478.35060arXiv1911.07396OpenAlexW3207781398MaRDI QIDQ2242547

Guosheng Jiang, Zhehui Wang, Jintian Zhu

Publication date: 9 November 2021

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

Full work available at URL: https://arxiv.org/abs/1911.07396

zbMATH Keywords

gradient estimateminimal surface equationlinear growthhalf space

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Maximum principles in context of PDEs (35B50) Quasilinear elliptic equations with mean curvature operator (35J93) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Classical solutions to PDEs (35A09)

Related Items (2)

Stability of Edelen-Wang's Bernstein type theorem for the minimal surface equation ⋮ A Bernstein-type theorem for minimal graphs over convex domains

Cites Work

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• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Oblique Derivative Problems for Elliptic Equations
• The Dirichlet problem for the minimal surface equation in higher dimensions.
• Boundary regularity and embedded solutions for the oriented Plateau problem

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