Liouville Type Theorems for Minimal Surface Equations in Half Space

2019/11/18 by Guosheng Jiang, Jiang, Guosheng, Zhehui Wang +3
Computer Science · Mathematics · #35J15 #35J62 #35J93 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1911.07396

openalex publication_date 2019/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For n≥2, we obtain Liouville type theorems for minimal surface equations in half space \mathbf Rⁿ₊ with affine Dirichlet boundary value or constant Neumann boundary value.

Citations

• Minimal Varieties in Riemannian Manifolds

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