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.
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Online Access: | https://doi.org/10.1515/anona-2020-0015 |
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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 |
work_keys_str_mv |
AT guibeolivier lewystampacchiasinequalityforapseudomonotoneparabolicproblem AT mokranea lewystampacchiasinequalityforapseudomonotoneparabolicproblem AT tahraouiy lewystampacchiasinequalityforapseudomonotoneparabolicproblem AT valletg lewystampacchiasinequalityforapseudomonotoneparabolicproblem |
_version_ |
1717769636129275904 |