A height estimate for constant mean curvature graphs and uniqueness

2005/04/20 by Laurent Mazet, Mazet, Laurent · 1 citation
Computer Science · Mathematics · #53A10 #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 #math.AP #math.DG #msc:53A10

paper · pdf · doi:10.48550/arxiv.math/0504412

15 pages, 2 figures

openalex publication_date 2005/04/20 · arxiv created 2005/04/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give a height estimate for constant mean curvature graphs. Using this result we prove two results of uniqueness for the Dirichlet problem associated to the constant mean curvature equation on unbounded domains.

Cited by

• Some uniqueness results for constant mean curvature graphs

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