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.
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- Barbu, V. and Precupanu, Th., Convexity and Optimization in Banach Spaces, Sijthoff and Noordoff, International Publishers, 1978.Google Scholar
- Carl, S., A survey of recent results on the enclosure and extremality of solutions for quasilinear hemivariational inequalities, In From Convexity to Nonconvexity, a volume dedicated to the memory of Professor Gaetano Fichera, Eds. R. Gilbert, P.D. Panagiotopoulos, and P. Pardalos, Kluwer Academic, in press.Google Scholar
- Naniewicz, Z. and Panagiotopoulos, P.D., Mathematical Theory of Hemivariational Inequalities and Applications, Marcel Dekker, New York, 1995.Google Scholar