2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163609We consider solutions of the Allen-Cahn equation in the whole Grushin plane and we show that if they are monotone in the vertical direction, then they are stable and they satisfy a good energy estimate. However, they are not necessarily one-dimensional, as a counter-example shows.21 pagesAnalysis of PDEs35J65On the Allen-Cahn equation in the Grushin plane: a monotone entire solution that is not one-dimensionaltext