Unbounded periodic constant mean curvature graphs on Calibrable Cheeger Serrin domains
Analysis of PDEs
2021-01-11 v1
Abstract
We prove a general result characterizing a specific class of Serrin domains as supports of unbounded and periodic constant mean curvature graphs. We apply this result to prove the existence of a family of unbounded periodic constant mean curvature graphs, each supported by a Serrin domain and intersecting its boundary orthogonally, up to a translation. We also show that the underlying Serrin domains are calibrable and Cheeger in a suitable sens, and they solve the 1-Laplacian equation.
Keywords
Cite
@article{arxiv.2101.02812,
title = {Unbounded periodic constant mean curvature graphs on Calibrable Cheeger Serrin domains},
author = {Ignace Aristide Minlend},
journal= {arXiv preprint arXiv:2101.02812},
year = {2021}
}