Maximal hypersurfaces over exterior domains
Analysis of PDEs
2020-01-17 v1 Differential Geometry
Abstract
In this paper, we study the exterior problem for the maximal surface equation. We obtain the precise asymptotic behavior of the exterior solution at infinity. And we prove that the exterior Dirichlet problem is uniquely solvable given admissible boundary data and prescribed asymptotic behavior at infinity.
Cite
@article{arxiv.1903.00787,
title = {Maximal hypersurfaces over exterior domains},
author = {Guanghao Hong and Yu Yuan},
journal= {arXiv preprint arXiv:1903.00787},
year = {2020}
}
Comments
24 pages, 1 figure