TY - JOUR
T1 - Minimal Hypersurfaces in Hyperbolic Spaces
JO - Journal of Partial Differential Equations
VL - 4
SP - 352
EP - 361
PY - 2009
DA - 2009/11
SN - 22
DO - http://doi.org/10.4208/jpde.v22.n4.4
UR - https://global-sci.org/intro/article_detail/jpde/5262.html
KW - Hyperbolic space
KW - minimal hypersurfaces
KW - mean curvature flow
KW - comparison theorem
AB - <p>In this paper, we reprove a theorem of M. Anderson [Invent. Math., 69 (1982), pp. 477-494] which established the existence of a minimal hypersurface in the hyperbolic space with prescribed asymptotic boundary with non-negative mean curvature in the non-parametric case. We use the mean curvature flow method.</p>