2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169451We consider radial solutions of a mass supercritical monic NLS and we prove the existence of a set, which looks like a hypersurface, in the space of finite energy functions, invariant for the flow and formed by solutions which converge to ground states.Analysis of PDEsAn invariant set in energy space for supercritical NLS in 1Dtext