Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary

dc.creator	Ripoll, Jaime Bruck
dc.date	2011-01-26T05:59:13Z
dc.date	2001
dc.identifier	0030-8730
dc.identifier	http://hdl.handle.net/10183/27489
dc.identifier	000316987
dc.description	We establish the existence and uniqueness of solutions to the Dirichlet problem for the cmc surface equation, including the minimal one, for zero boundary data, in certain domains of the plane. We obtain results that characterize the sphere and cmc graphs among compact embedded cmc surfaces with planar boundary satisfying certain geometric conditions. We also find conditions that imply that a compact embedded cmc surface which is a graph near the boundary is indeed a global graph.
dc.format	application/pdf
dc.language	eng
dc.relation	Pacific journal of mathematics. Berkeley. Vol. 198, no. 1 (2001), p. 175-196.
dc.rights	Open Access
dc.subject	Curvas
dc.subject	Gráficos
dc.subject	Problema de Dirichlet
dc.subject	Superfícies de curvatura média
dc.subject	Geometria diferencial
dc.title	Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary
dc.type	Artigo de periódico
dc.type	Estrangeiro