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Our results allow us to characterize Aubin's Lipschitz-like property as well as the convexity of multivalued mappings between $L^1$-spaces. New necessary optimality conditions for some Bolza problems are also obtained.<\/jats:p>","DOI":"10.1137\/090775506","type":"journal-article","created":{"date-parts":[[2011,7,6]],"date-time":"2011-07-06T18:24:22Z","timestamp":1309976662000},"page":"1435-1453","source":"Crossref","is-referenced-by-count":4,"title":["Noncoincidence of Approximate and Limiting Subdifferentials of Integral Functionals"],"prefix":"10.1137","volume":"49","author":[{"given":"Abderrahim","family":"Jourani","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lionel","family":"Thibault","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2011,7,5]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(85)90095-1"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1986-022-4"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1987-019-4"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1965-0178103-8"},{"key":"R5","doi-asserted-by":"crossref","unstructured":"C. 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