2 papers
math.DG2024
Allen-Cahn equation and degenerate minimal hypersurface
Jingwen Chen, Pedro Gaspar
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…
math.DG2023
Morse theory for the Allen-Cahn functional
Jingwen Chen, Pedro Gaspar
In this article, we use Morse-theoretic techniques to construct connections between low energy critical submanifolds of the Allen-Cahn energy functional in the 3-sphere via the neg…