Some uniqueness results for constant mean curvature graphs

2005/09/21 by Laurent Mazet, Mazet, Laurent
Computer Science · Mathematics · #53A10 #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.DG #msc:53A10

paper · pdf · doi:10.48550/arxiv.math/0509479

21 pages, 3 figures

arxiv created 2005/09/21 · openalex publication_date 2005/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to give two uniqueness results for the Dirichlet problem associated to the constant mean curvature equation. We study constant mean curvature graphs over strips of R². The proofs are based on height estimates and the study of the asymptotic behaviour of solutions to the Dirichlet problem.

Citations

• A height estimate for constant mean curvature graphs and uniqueness

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