Remarks on area maximizing hypersurfaces over $\mathbb{R}^n\backslash\{0\}$ and exterior domains
Analysis of PDEs
2019-03-05 v1 Differential Geometry
Abstract
In this note, we provide a complete classification for entire area maximizing hypersurfaces having an isolated singularity. We also construct an interesting illustrated example. For area maximizing hypersurfaces over exterior domains, we obtain a partial result on their asymptotic behavior at infinity. We also establish the solvability of exterior Dirichlet problems for area maximizing hypersurfaces.
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Cite
@article{arxiv.1903.00789,
title = {Remarks on area maximizing hypersurfaces over $\mathbb{R}^n\backslash\{0\}$ and exterior domains},
author = {Guanghao Hong},
journal= {arXiv preprint arXiv:1903.00789},
year = {2019}
}
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8 pages