2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75678In this note we consider a free discontinuity problem for a scalar function, whose energy depends also on the size of the jump. We prove that the gradient of every smooth local minimizer never exceeds a constant, determined only by the data of the problem.7 pagesAnalysis of PDEs74R99; 49J45; 49N60text