2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74000In this paper we consider Hopf's Lemma and the Strong Maximum Principle for supersolutions to a class of non elliptic equations. In particular we prove a sufficient condition for the validity of Hopf's Lemma and of the Strong Maximum Principle and we give a condition which is at once necessary for the validity of Hopf's Lemma and sufficient for the validity of the Strong Maximum Principle.27 pages,4 figuresAnalysis of PDEsOn Hopf's Lemma and the Strong Maximum Principletext