On the Dirichlet problem for the CMC graph equation on multiply connected domains of a Riemannian manifold

Ari J. Aiolfi; Giovanni S. Nunes; Lisandra O. Sauer; Rodrigo B. Soares

arxiv: 1506.06709 · v1 · pith:S5MBP5IRnew · submitted 2015-06-22 · 🧮 math.DG

On the Dirichlet problem for the CMC graph equation on multiply connected domains of a Riemannian manifold

Ari J. Aiolfi , Giovanni S. Nunes , Lisandra O. Sauer , Rodrigo B. Soares This is my paper

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keywords connecteddomainsmultiplyboundaryboundedcompactconstantcurvature

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We establish existence and uniqueness of compact graphs of constant mean curvature in MxR over bounded multiply connected domains of Mx{0} with boundary lying in two parallel horizontal slices of MxR

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On the Dirichlet problem for the CMC graph equation on multiply connected domains of a Riemannian manifold

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