2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61409In this paper we present a minimality criterion for the Mumford-Shah functional, and more generally for non convex variational integrals on SBV which couple a surface and a bulk term. This method provides short and easy proofs for several minimality results.45 pages, 7 figuresAnalysis of PDEs49K10 (49Q15, 49Q05, 58E12)text