On uniqueness of graphs with constant mean curvature
ISSN: 0023-608X
Año de publicación: 2006
Volumen: 46
Número: 4
Páginas: 771-787
Tipo: Artículo
Otras publicaciones en: Journal of mathematics of Kyoto University
Resumen
A result due to Serrin assures that a graph with constant mean curvature $H \neq 0$ in Euclidean space $\mathbb{R}^{3}$ cannot keep away a distance $1/|H|$ from its boundary. When the distance is exactly $1/|H|$, then the surface is a hemisphere. Following ideas due to Meeks, in this note we treat the aspect of the equality in the Serrin�s estimate as well as generalizations in other situations and ambient spaces.