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

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 t...

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Main Authors:	Ahmed Addou, Abdeluaab Lidouh, Belkassem Seddoug
Format:	Article
Language:	English
Published:	Texas State University 2006-12-01
Series:	Electronic Journal of Differential Equations
Subjects:	Infinity Laplace equation elasto-plastic torsion problem variational inequality.
Online Access:	http://ejde.math.txstate.edu/Volumes/2006/156/abstr.thml

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spelling	doaj-1500998d11c34c788d6b6ac3dfba56d32020-11-24T21:57:26ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-12-01200615617Elasto-plastic torsion problem as an infinity Laplace's equationAhmed AddouAbdeluaab LidouhBelkassem SeddougIn 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 $A$.http://ejde.math.txstate.edu/Volumes/2006/156/abstr.thmlInfinity Laplace equationelasto-plastic torsion problemvariational inequality.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ahmed Addou Abdeluaab Lidouh Belkassem Seddoug
spellingShingle	Ahmed Addou Abdeluaab Lidouh Belkassem Seddoug Elasto-plastic torsion problem as an infinity Laplace's equation Electronic Journal of Differential Equations Infinity Laplace equation elasto-plastic torsion problem variational inequality.
author_facet	Ahmed Addou Abdeluaab Lidouh Belkassem Seddoug
author_sort	Ahmed Addou
title	Elasto-plastic torsion problem as an infinity Laplace's equation
title_short	Elasto-plastic torsion problem as an infinity Laplace's equation
title_full	Elasto-plastic torsion problem as an infinity Laplace's equation
title_fullStr	Elasto-plastic torsion problem as an infinity Laplace's equation
title_full_unstemmed	Elasto-plastic torsion problem as an infinity Laplace's equation
title_sort	elasto-plastic torsion problem as an infinity laplace's equation
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2006-12-01
description	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 $A$.
topic	Infinity Laplace equation elasto-plastic torsion problem variational inequality.
url	http://ejde.math.txstate.edu/Volumes/2006/156/abstr.thml
work_keys_str_mv	AT ahmedaddou elastoplastictorsionproblemasaninfinitylaplacesequation AT abdeluaablidouh elastoplastictorsionproblemasaninfinitylaplacesequation AT belkassemseddoug elastoplastictorsionproblemasaninfinitylaplacesequation
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Elasto-plastic torsion problem as an infinity Laplace's equation

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