The affine Plateau problem
微分几何
2007-05-23 v1 偏微分方程分析
摘要
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.
引用
@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}
}
备注
48 pages