Allen-Cahn equation and degenerate minimal hypersurface
arXiv:2402.18799
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.
arXiv comment15 pages, 2 figures. Comments are welcome! minor modification with a description of the nonsymmetric case