2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117911In this note we will present an extension of the Krein-Rutman theorem for an abstract nonlinear, compact, positively 1-homogeneous, monotone non-decreasing operators on a Banach space and apply the result to many nonlinear elliptic partial differential operators.Functional AnalysisAnalysis of PDEs47H12,47H11text