Electron. J. Diff. Eqns., Vol. 2006(2006), No. 156, pp. 1-7.

Elasto-plastic torsion problem as an infinity Laplace's equation

Ahmed Addou, Abdeluaab Lidouh, Belkassem Seddoug

Abstract:
In this paper, we study a perturbed infinity Laplace's equation, the perturbation corresponds to an Leray-Lions operator with no coercivity assumption. We consider the case where data are distributions or $L^{1}$ elements. We show that this problem has an unique solution which is the solution to the variational inequality arising in the elasto-plastic torsion problem, associated with an operator $A$.

Submitted October 11, 2006. Published December 18, 2006.
Math Subject Classifications: 35J70, 35J85, 74C05.
Key Words: Infinity Laplace equation; elasto-plastic torsion problem; variational inequality.

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Ahmed Addou
Université Mohammed premier
Faculté des sciences
Oujda, Maroc
email: addou@sciences.univ-oujda.ac.ma
Abdeluaab Lidouh
Université Mohammed premier
Faculté des sciences
Oujda, Maroc
email: lidouh@sciences.univ-oujda.ac.ma
Belkassem Seddoug
Université Mohammed premier
Faculté des sciences
Oujda, Maroc
email: seddougbelkassem@yahoo.fr

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