2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123169In this paper we prove a sufficient condition, in terms of the behavior of a ground state of a singular p-Laplacian problem with a potential term, such that a nonzero subsolution of another such problem is also a ground state. Unlike in the linear case (p=2), this condition involves comparison of both the functions and of their gradients.20 pages, some examples and remarks were added, few misprints were correctedAnalysis of PDEs35J10; 35B05text