2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212147We consider an optimal control problem for the obstacle problem with an elliptic variational inequality. The obstacle function which is the control function is assumed in $H^{2}$. We use an approximate technique to introduce a family of problems governed by variational equations. We prove optimal solutions existence and give necessary optimality conditions.Optimization and Control35R35, 49J40, 49J20.text