Lignes de divergence pour les graphes a courbure moyenne constante

DOI10.1016/J.ANIHPC.2006.06.004arXivmath/0509477MaRDI QIDQ6476060

Publication date: 21 September 2005

Abstract: This paper is devoted to the study of convergence of sequences of solutions to the constant mean curvature H equation. The convergence domain is defined. The main Theorem characterizes the complement of this convergence domain: it shows that circle arcs of curvature 2H compose this complement. We then give results which allow us to use this theorem.

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

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