Uniqueness results for constant mean curvature graphs

Laurent Mazet

Vol. 230 (2007), No. 2, 365–380

DOI: 10.2140/pjm.2007.230.365

Abstract

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

Keywords

constant mean curvature, uniqueness in Dirichlet problem

Mathematical Subject Classification 2000

Primary: 53A10

Milestones

Received: 22 September 2005

Accepted: 24 April 2006

Published: 1 April 2007