Extremal Solutions of Hemivariational Inequalities with D.C.-Superpotentials

  • Siegfried Carl
Part of the Mathematics and Its Applications book series (MAIA, volume 528)


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.


Variational Inequality Lower Solution Extremal Solution Nonlinear Mechanic Order Interval 
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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Siegfried Carl
    • 1
  1. 1.Martin-Luther-Universität Halle-WittenbergFachbereich Mathematik und Informatik Institut für AnalysisHalleGermany

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