2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215901In this note we give some remarks and improvements on a recent paper of us [3] about an optimization problem for the $p-$Laplace operator that were motivated by some discussion the authors had with Prof. Cianchi.Analysis of PDEsOptimization and Control35J60; 49K20text