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Kybernetika 29 no. 3, 284-290, 1993

Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions

Jan Sokołowski

Abstract:

The form of directional derivative of the metric projection in the Sobolev space $H^2_0(\Omega)$ onto the convex set $K=\{f\in H^2_0(Ø) \vert f\ge\psi\}$ is derived in [14]. In the present paper the result is used to obtain the first order optimality conditions for a class of nonsmooth optimal design problems for the Kirchhoff plate with an obstacle.

Classification:

49K20, 49J40, 49Q10, 74P99, 74K20, 73K10, 73k40