Optimal Control of Semilinear Elliptic Obstacle Problems

Maïtine Bergounioux (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We investigate optimal control problems governed by a semilinear obstacle problem. We relax the feasible domain of the problem and using both mathematical programming methods and penalization methods we get optimality conditions with smooth lagrange multipliers.

Mots clés: Optimal control; Lagrange multipliers; Variational inequalities

Domaines: Optimisation et contrôle [math.OC]

Maïtine Bergounioux. Optimal Control of Semilinear Elliptic Obstacle Problems. Journal of Nonlinear and Convex Analysis, 2002, 3, n°1, pp 25-39. ⟨hal-00022022⟩