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Shape sensitivity analysis of unilateral problems. (English) Zbl 0646.35036

The authors give a general sensitivity analysis of abstract elliptic variational inequalities. The results are applied to unilateral problems, in particular, to the obstacle problem and to the Signorini problem in planar linear elasticity. The “shape derivatives” are characterized as the solutions of certain variational inequalities.
Reviewer: J.Sprekels

MSC:

35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
49J40 Variational inequalities
49J52 Nonsmooth analysis
49K40 Sensitivity, stability, well-posedness
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