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Optimal control of problems governed by abstract elliptic variational inequalities with state constraints. (English) Zbl 0919.49002
The author investigates optimal control problems governed by elliptic variational inequalities with additional state constraints. The author presents a relaxed formulation for the problem. With penalization methods and approximation techniques he gives qualification conditions to get first-order optimality conditions.

MSC:
49J20 Existence theories for optimal control problems involving partial differential equations
49M29 Numerical methods involving duality
35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
49J40 Variational inequalities
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