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Published in:
2007 | OriginalPaper | Chapter
Hemivariational Inequalities
Authors : Siegfried Carl, Vy Khoi Le, Dumitru Motreanu
Published in: Nonsmooth Variational Problems and Their Inequalities
Publisher: Springer US
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Hemivariational inequalities have been introduced by P. D. Panagiotopoulos (see [179, 180]) to describe, e.g., problems in mechanics and engineering governed by nonconvex, possibly nonsmooth energy functionals (so-called superpotentials). This kind of energy functionals appear if nonmonotone, possibly multivalued constitutive laws are taken into account. Hemivariational inequalities are of the following abstract setting: