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Article

Bock, Igor ; Lovíšek, Ján
On the minimum of the work of interaction forces between a pseudoplate and a rigid obstacle. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 281-292
MSC: 35J85, 49J20, 49J40, 74K20 | MR 1844269 | Zbl 0980.49008 | DOI: 10.21136/MB.2001.134022
Keywords:
elliptic variational inequality; pseudoplate; thickness; optimal control; penalization
Summary:
An optimization problem for the unilateral contact between a pseudoplate and a rigid obstacle is considered. The variable thickness of the pseudoplate plays the role of a control variable. The cost functional is a regular functional only in the smooth case. The existence of an optimal thickness is verified. The penalized optimal control problem is considered in the general case.
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