2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111725We proove some inequalities concerning the product, sup * inf for some elliptic operators of order 2 and 4. Using those inequalities and the concentration phenomena we can describe the asymptotic behavior of those PDE solutions.20 pagesAnalysis of PDEsInégalités de Harnack et Phénomène de Concentrationtext