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

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

2008-06-03

arxiv.org/abs/0806.0498v1

Mathematics

Differential Geometry

60 pages, 15 figures

Scientific paper

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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