On uniqueness of graphs with constant mean curvature
López, Rafael
J. Math. Kyoto Univ., Tome 46 (2006) no. 4, p. 771-787 / Harvested from Project Euclid
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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.
Publié le : 2006-05-15
Classification:  53A10 
@article{1250281603,
     author = {L\'opez, Rafael},
     title = {On uniqueness of graphs with constant mean curvature},
     journal = {J. Math. Kyoto Univ.},
     volume = {46},
     number = {4},
     year = {2006},
     pages = { 771-787},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281603}
}

López, Rafael. On uniqueness of graphs with constant mean curvature. J. Math. Kyoto Univ., Tome 46 (2006) no. 4, pp.  771-787. http://gdmltest.u-ga.fr/item/1250281603/