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Optimal control in coefficients for elliptic variational inequalities and optimality conditions. (English) Zbl 0687.49010
Summary: This paper concerns an optimal control problem for an elliptic variational inequality with controls appearing in coefficients, right hand sides and convex sets of states as well. The existence of an optimal control is verified and necessary optimality conditions are derived. The application to the optimal design of an elastic plate with an obstacle is presented.
MSC:
49J40 Variational inequalities
49J27 Existence theories for problems in abstract spaces
49K99 Optimality conditions
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