Infinite boundary value problems for constant mean curvature graphs in ℍ2 × ℝ and S2 × ℝ

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An asymptotic theorem for minimal surfaces and existence results for minimal graphs in $H^2 \times R$ (2007, background): “Proof. Observe that for any ϕ ∈ Sφ, MU(ϕ) ∈ Sφ, for any closed disk U ⊂ . Observe also that the basic compactness theorem holds for the minimal vertical equation, see [8], [22], [23] and [ 12 ].”
General curvature estimates for stable H-surfaces in 3-manifolds applications (2009, result): “the result above was shown in an analytic way by Hauswirth, Rosenberg and Spruck [ 8 ].”
The Dirichlet problem for the minimal surface equation, with possible infinite boundary data, over domains in a Riemannian surface (2008, background): “problem has been solved, and interesting applications have been obtained (see for example [3, 6 , 11]”