{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1360855568614459136.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.5802/aif.280"}},{"identifier":{"@type":"URI","@value":"https://aif.centre-mersenne.org/item/10.5802/aif.280.pdf"}}],"dc:title":[{"@value":"Équations et inéquations non linéaires dans les espaces vectoriels en dualité"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>\n                    On introduit dans le cadre des espaces vectoriels en dualité, deux vastes classes d’opérateurs non linéaires les opérateurs de type\n                    <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                      <mml:mi>M</mml:mi>\n                    </mml:math>\n                    et les opérateurs pseudo-monotones. On met en évidence plusieurs de leurs propriétés analogues à celles des opérateurs monotones ; en particulier, on résoud pour ces opérateurs des problèmes abstraits de type elliptique et parabolique, des équations intégrales, des inéquations variationnelles stationnaires et d’évolution. Suivent quelques applications.\n                  </jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380855568614459136","@type":"Researcher","foaf:name":[{"@value":"Haïm Brézis"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"17775310"}],"prism:publicationName":[{"@value":"Annales de l'Institut Fourier"}],"dc:publisher":[{"@value":"MathDoc/Centre Mersenne"}],"prism:publicationDate":"1968","prism:volume":"18","prism:number":"1","prism:startingPage":"115","prism:endingPage":"175"},"reviewed":"false","url":[{"@id":"https://aif.centre-mersenne.org/item/10.5802/aif.280.pdf"}],"createdAt":"2011-09-05","modifiedAt":"2025-10-10","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360004230224835712","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Quasi‐subdifferential operator approach to elliptic variational and quasi‐variational inequalities"}]},{"@id":"https://cir.nii.ac.jp/crid/1360576118712447616","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Three-field mixed formulation of elasticity model nonlinear in the mean normal stress for the problem of non-penetrating cracks in bodies"}]},{"@id":"https://cir.nii.ac.jp/crid/1360848657219011072","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Approximation of semigroups of Lipschitz operators"}]},{"@id":"https://cir.nii.ac.jp/crid/1391412881265428736","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"VARIATIONAL INEQUALITIES FOR PERTURBATIONS OF MAXIMAL MONOTONE OPERATORS IN REFLEXIVE BANACH SPACES"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.5802/aif.280"},{"@type":"CROSSREF","@value":"10.1002/mma.3948_references_DOI_Sobr8xnlhw7l7BlcJKIWhuLTFNN"},{"@type":"CROSSREF","@value":"10.2748/tmj/1404911860_references_DOI_Sobr8xnlhw7l7BlcJKIWhuLTFNN"},{"@type":"CROSSREF","@value":"10.1016/j.jmaa.2012.07.069_references_DOI_Sobr8xnlhw7l7BlcJKIWhuLTFNN"},{"@type":"CROSSREF","@value":"10.1016/j.apples.2021.100060_references_DOI_Sobr8xnlhw7l7BlcJKIWhuLTFNN"}]}