The affine Plateau problem
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
In this paper, we study a second order variational problem for locally convex hypersurfaces, which is the affine invariant analogue of the classical Plateau problem for minimal surfaces. We prove existence, regularity and uniqueness results for hypersurfaces maximizing affine area under appropriate boundary conditions.
Cite
@article{arxiv.math/0405541,
title = {The affine Plateau problem},
author = {Neil S. Trudinger and Xu-Jia Wang},
journal= {arXiv preprint arXiv:math/0405541},
year = {2007}
}
Comments
48 pages