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Elasto-plastic torsion problem as an infinity Laplace’s equation. (English) Zbl 1128.35351

Summary: 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 \(A\).

MSC:

35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
35J25 Boundary value problems for second-order elliptic equations
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