Inequality Problems in BV and Geometric Applications

  • D. Motreanu
  • V. Rădulescu
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 67)


The theory of variational inequalities appeared in the middle 60’s in connection with the notion of subdifferential in the sense of Convex Analysis (see e.g. [4], [10], [16] for the main aspects of this theory). All the inequality problems treated to the beginning 80’s were related to convex energy functionals and therefore strictly connected to monotonicity: for instance, only monotone (possibly multivalued) boundary conditions and stress-strain laws could be studied. Nonconvex inequality problems first appeared in [18] in the setting of Global Analysis and were related to the subdifferential introduced in [7] (see A. Marino [17] for a survey of the developments in this direction).


Variational Inequality Inequality Problem Critical Point Theory Lower Semicontinuous Function Multiplicity Result 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • D. Motreanu
    • 1
  • V. Rădulescu
    • 2
  1. 1.Department of MathematicsUniversity of PerpignanPerpignanFrance
  2. 2.Department of MathematicsUniversity of CraiovaCraiovaRomania

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