Geodesic
Elasto-plastic torsion problem as an infinity Laplace's equation
Electronic journal of differential equations, Tome 2006 (2006)
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 $A$.
Classification : 35J70, 35J85, 74C05
Keywords: infinity Laplace equation, elasto-plastic torsion problem, variational inequality 
@article{EJDE_2006__2006__a54,
     author = {Addou,  Ahmed and Lidouh,  Abdeluaab and Seddoug,  Belkassem},
     title = {Elasto-plastic torsion problem as an infinity {Laplace's} equation},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1128.35351},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a54/}
}
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%A Seddoug,  Belkassem
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Addou,  Ahmed; Lidouh,  Abdeluaab; Seddoug,  Belkassem. Elasto-plastic torsion problem as an infinity Laplace's equation. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a54/