The Maximal Graph Dirichlet Problem in Semi-Euclidean Spaces
Analysis of PDEs
2011-12-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1112.4219,
title = {The Maximal Graph Dirichlet Problem in Semi-Euclidean Spaces},
author = {Benjamin Stuart Thorpe},
journal= {arXiv preprint arXiv:1112.4219},
year = {2011}
}