The Perron Method and the Non-Linear Plateau Problem
Differential Geometry
2009-12-16 v1
Abstract
We describe a novel technique for solving the Plateau problem for constant curvature hypersurfaces based on recent work of Harvey and Lawson. This is illustrated by an existence theorem for hypersurfaces of constant Gaussian curvature in .
Keywords
Cite
@article{arxiv.0912.2892,
title = {The Perron Method and the Non-Linear Plateau Problem},
author = {Andrew Clarke and Graham Smith},
journal= {arXiv preprint arXiv:0912.2892},
year = {2009}
}