Optimal control of obstacle problems : existence of Lagrange multipliers
Espaces analytiques banachiques
Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers
We study first order optimality systems for the control of a system governed by a variational inequality and deal with Lagrange multipliers: is it possible to associate to each pointwise constraint a multiplier to get a “good” optimality system? We give positive and negative answers for the finite and infinite dimensional cases. These results are compared with the previous ones got by penalization or differentiation.
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