2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170090We prove the existence and uniqueness up to translations of the solution to a Minkowski type problem for the torsional rigidity in the class of open bounded convex subsets of the $n$-dimensional Euclidean space. For the existence part we apply the variational method introduced by Jerison for analogous problems concerning other variational functionals. Uniqueness follows from the Brunn--Minkowski inequality for the torsional rigidity and corresponding equality conditions.23 pagesAnalysis of PDEsMetric Geometry35J05, 52A20, 52A40, 49N99.text