Elliptic Variational Inequalities

  • Mircea Sofonea
  • Andaluzia Matei
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 18)

In this chapter, we present some theorems on the solvability of elliptic variational and quasivariational inequalities. We start with a basic existence and uniqueness result for elliptic variational inequalities, then we provide convergence results. Next, we extend part of these results to the study of elliptic quasivariational and time-dependent variational and quasivariational inequalities, respectively. The results presented in this chapter will be applied in the study of static antiplane frictional contact problems with elastic materials. They also are crucial tools in deriving existence results for evolutionary variational inequalities. Everywhere in this chapter, X denotes a real Hilbert space with inner product (·,·)X and norm \(||\cdot||\ X\).


Hilbert Space Unique Solution Variational Inequality Uniqueness Result Unique Element 
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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Université de PerpignanLabo. ModélisationPerpignan France
  2. 2.University of CraiovaDept. MathematicsCraiovaRomania

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