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

dc.contributor.author	Ripoll, Jaime Bruck	pt_BR
dc.date.accessioned	2011-01-26T05:59:13Z	pt_BR
dc.date.issued	2001	pt_BR
dc.identifier.issn	0030-8730	pt_BR
dc.identifier.uri	http://hdl.handle.net/10183/27489	pt_BR
dc.description.abstract	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.	en
dc.format.mimetype	application/pdf	pt_BR
dc.language.iso	eng	pt_BR
dc.relation.ispartof	Pacific journal of mathematics. Berkeley. Vol. 198, no. 1 (2001), p. 175-196.	pt_BR
dc.rights	Open Access	en
dc.subject	Curvas	pt_BR
dc.subject	Gráficos	pt_BR
dc.subject	Problema de Dirichlet	pt_BR
dc.subject	Superfícies de curvatura média	pt_BR
dc.subject	Geometria diferencial	pt_BR
dc.title	Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary	pt_BR
dc.type	Artigo de periódico	pt_BR
dc.identifier.nrb	000316987	pt_BR
dc.type.origin	Estrangeiro	pt_BR

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