Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem

The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.

Bibliographic Details
Main Authors: Guibé Olivier, Mokrane A., Tahraoui Y., Vallet G.
Format: Article
Language:English
Published: De Gruyter 2019-06-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0015
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spelling doaj-0193c06dbe1446d29c1ca2e7be6fbdf92021-09-06T19:39:56ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2019-06-019159161210.1515/anona-2020-0015anona-2020-0015Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problemGuibé Olivier0Mokrane A.1Tahraoui Y.2Vallet G.3Laboratoire de Mathématiques Raphaël Salem, UMR 6085 CNRS, Av. de ľUniversité, BP.12, 76801, Saint-Étienne-du-Rouvray, FranceLaboratoire ďéquations aux dérivées partielles non linéaires et histoire des mathématiques, École Normale Supérieure, B.P. 92, Vieux Kouba, 16050, Alger, AlgérieLaboratoire ďéquations aux dérivées partielles non linéaires et histoire des mathématiques, École Normale Supérieure, B.P. 92, Vieux Kouba, 16050, Alger, AlgérieLaboratoire de Mathématiques et Applications de Pau, UMR CNRS 5142, BP1155, 64013, Pau cedex, FranceThe main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.https://doi.org/10.1515/anona-2020-0015variational inequalitiespenalizationpseudomonotone operatorlewy-stampacchia’s inequality35k8635r35
collection DOAJ
language English
format Article
sources DOAJ
author Guibé Olivier
Mokrane A.
Tahraoui Y.
Vallet G.
spellingShingle Guibé Olivier
Mokrane A.
Tahraoui Y.
Vallet G.
Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem
Advances in Nonlinear Analysis
variational inequalities
penalization
pseudomonotone operator
lewy-stampacchia’s inequality
35k86
35r35
author_facet Guibé Olivier
Mokrane A.
Tahraoui Y.
Vallet G.
author_sort Guibé Olivier
title Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem
title_short Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem
title_full Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem
title_fullStr Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem
title_full_unstemmed Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem
title_sort lewy-stampacchia’s inequality for a pseudomonotone parabolic problem
publisher De Gruyter
series Advances in Nonlinear Analysis
issn 2191-950X
publishDate 2019-06-01
description The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.
topic variational inequalities
penalization
pseudomonotone operator
lewy-stampacchia’s inequality
35k86
35r35
url https://doi.org/10.1515/anona-2020-0015
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AT mokranea lewystampacchiasinequalityforapseudomonotoneparabolicproblem
AT tahraouiy lewystampacchiasinequalityforapseudomonotoneparabolicproblem
AT valletg lewystampacchiasinequalityforapseudomonotoneparabolicproblem
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