The Dirichlet problem for the minimal surface equation -with possible infinite boundary data- over domains in a Riemannian surface

H. Rosenberg; L. Mazet; M. M. Rodriguez

arxiv: 0806.0498 · v1 · pith:WUP2CJU7new · submitted 2008-06-03 · 🧮 math.DG · math.AP

The Dirichlet problem for the minimal surface equation -with possible infinite boundary data- over domains in a Riemannian surface

L. Mazet , M. M. Rodriguez , H. Rosenberg This is my paper

classification 🧮 math.DG math.AP

keywords domainssurfaceriemannianboundarycasedata-dirichletequation

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In this paper, we study existence and uniqueness of solutions to Jenkins-Serrin type problems on domains in a Riemannian surface. In the case of unbounded domains, the study is focused on the hyperbolic plane.

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The Dirichlet problem for the minimal surface equation -with possible infinite boundary data- over domains in a Riemannian surface

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