Allen-Cahn equation and degenerate minimal hypersurface
Differential Geometry
2024-04-19 v2 Analysis of PDEs
Abstract
In this short note, we present new observations and examples concerning the existence and rigidity of solutions to the Allen-Cahn equation with degenerate minimal hypersurfaces as their limit interfaces.
Cite
@article{arxiv.2402.18799,
title = {Allen-Cahn equation and degenerate minimal hypersurface},
author = {Jingwen Chen and Pedro Gaspar},
journal= {arXiv preprint arXiv:2402.18799},
year = {2024}
}
Comments
15 pages, 2 figures. Comments are welcome! minor modification with a description of the nonsymmetric case