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

Date
2006-12-18
Authors
Addou, Ahmed
Lidouh, Abdeluaab
Seddoug, Belkassem
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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 L1 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 and operator A.
Description
Keywords
Infinity Laplace equation, Elasto-plastic torsion problem, Variational inequality
Citation
Addou, A., Lidouh, A., & Seddoug, B. (2006). Elasto-plastic torsion problem as an infinity Laplace's equation. <i>Electronic Journal of Differential Equations, 2006</i>(156), pp. 1-7.