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arxiv: math/0509479 · v1 · submitted 2005-09-21 · 🧮 math.DG

Some uniqueness results for constant mean curvature graphs

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keywords constantcurvaturemeandirichletgraphsproblemresultsuniqueness
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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 R^2. The proofs are based on height estimates and the study of the asymptotic behaviour of solutions to the Dirichlet problem.

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