## Noncoercive hemivariational inequality and its applications in nonconvex unilateral mechanics.(English)Zbl 0863.49007

Special classes of hemivariational inequalities of the type $u\in C,\;(Au-f,v) \geq 0 \;\text{ for all } v \in T_C(u)$ are studied where the set $$C$$ is closed and star-shaped with respect to a certain ball, $$T_C(u)$$ is the Clarke’s tangent cone to $$C$$ at $$u \in C$$, $$A$$ is a pseudomonotone operator. Existence results for these problems including the noncoercive case are discussed and concrete applications are given. Particularly, the equilibrium problem of a material point which is constrained to remain in a closed set $$C \subset R^3$$ which is star-shaped with respect to a ball, the laminated plate problem and the generalized Signorini-like problem in elasticity are described.
Reviewer: M.Kučera (Praha)

### MSC:

 49J40 Variational inequalities 49J52 Nonsmooth analysis
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### References:

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