2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63318We establish an abstract critical point theorem for locally Lipschitz functionals that does not require any compactness condition of Palais-Smale type. It generalizes and unifies three other critical point theorems established in [Jabri-Moussaoui] for $C^{1}$-functionals under slightly stronger assumptions. Our approach uses continuous selections of multivalued mappings.Functional AnalysisAnalysis of PDEs58E05; 54C60; 49J35Nonsmooth Critical Point Theorems Without Compactnesstext