Gouasmia, HadilBouzenada, Sourya2022-06-272022-06-272022http//localhost:8080/jspui/handle/123456789/4693By employing three critical points theorem, we investigate the existence of solutions to a boundary value problem for p-Laplacian partial difference equation with real parameter and give it accurate estimates to ensure that the studied problem has at least three solutions. Moreover, two positive solutions are obtained under some suitable assumptions for nonlinearity f depending on the strong maximum principle.enBoundary value problem, Partial difference equation, Critical point Theory, p-Laplacianproblème de valeur aux limites, équation aux différences partielles, théorie des points critiques, p-laplacienمسألة ذات شروط حدية، معادلة تفاضلية منفصلة، نظرية النقطة الحرجة، مؤثر p لابلاسThesis