The Maximal Graph Dirichlet Problem in Semi-Euclidean Spaces

Details The Maximal Graph Dirichlet Problem in Semi-Euclidean Spaces The Maximal Graph Dirichlet Problem in Semi-Euclidean Spaces

2011-12-19

arxiv.org/abs/1112.4219v1

Mathematics

Analysis of PDEs

Scientific paper

The maximal graph Dirichlet problem asks whether there exists a spacelike
graph, in a semi-Euclidean space, with a given boundary and with mean curvature
everywhere zero. We prove the existence of solutions to this problem under
certain assumptions on the given boundary. Most importantly, the results proved
here will hold for graphs of codimension greater than 1.

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