2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212251In this paper we establish isoperimetric inequalities for the product of some moments of inertia. As an application, we obtain an isoperimetric inequality for the product of the $N$ first nonzero eigenvalues of the Stekloff problem in $\mathbb{R}^N$.Analysis of PDEsOptimization and Control35P15, 52A40text