Extremal Solutions of Hemivariational Inequalities with D.C.-Superpotentials
The variational formulation of various boundary value problems in mechanics and engineering governed by nonconvex, possibly nonsmooth energy functionals (so-called superpotentials) leads to hemivariational inequalities introduced by Panagiotopoulos, cf. e.g. [9, 12, 14], to model problems including nonmonotone, possibly multivalued constitutive laws. An abstract formulation of a hemivariational inequality reads as follows.
KeywordsVariational Inequality Lower Solution Extremal Solution Nonlinear Mechanic Order Interval
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