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Variational Inequalities and the Elastic-Plastic Torsion Problem

Author

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  • G. Idone

    (Università di Reggio Calabria)

  • A. Maugeri

    (Università di Catania)

  • C. Vitanza

    (Università di Messina)

Abstract

We show that, under suitable conditions, the variational inequality that expresses the elastic-plastic torsion problem is equivalent to a variational inequality on a convex set which depends on δ(x)=d(x, ∂Ω). Such an equivalence allows us to find the related Lagrange multipliers and to exhibit a computational procedure based on the subgradient method.

Suggested Citation

  • G. Idone & A. Maugeri & C. Vitanza, 2003. "Variational Inequalities and the Elastic-Plastic Torsion Problem," Journal of Optimization Theory and Applications, Springer, vol. 117(3), pages 489-501, June.
    • Handle: RePEc:spr:joptap:v:117:y:2003:i:3:d:10.1023_a:1023941520452
    DOI: 10.1023/A:1023941520452
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    References listed on IDEAS

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    1. P. Daniele & A. Maugeri & W. Oettli, 1999. "Time-Dependent Traffic Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 103(3), pages 543-555, December.
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    Cited by:

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    2. A. Maugeri & F. Raciti, 2010. "Remarks on infinite dimensional duality," Journal of Global Optimization, Springer, vol. 46(4), pages 581-588, April.
    3. Maria Bernadette Donato & Monica Milasi & Carmela Vitanza, 2016. "On the Study of an Economic Equilibrium with Variational Inequality Arguments," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 646-660, February.

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