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Our quest is motivated by the knowledge we have on the analogous integral functionals and aims at establishing a solid groundwork underlying further research in the <jats:inline-formula>\n              <jats:alternatives>\n                <jats:tex-math>$$L^\\infty $$<\/jats:tex-math>\n                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:msup>\n                    <mml:mi>L<\/mml:mi>\n                    <mml:mi>\u221e<\/mml:mi>\n                  <\/mml:msup>\n                <\/mml:math>\n              <\/jats:alternatives>\n            <\/jats:inline-formula> context.<\/jats:p>","DOI":"10.1007\/s13163-024-00499-0","type":"journal-article","created":{"date-parts":[[2024,9,3]],"date-time":"2024-09-03T13:02:34Z","timestamp":1725368554000},"page":"573-624","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Revisited convexity notions for $$L^\\infty $$ variational problems"],"prefix":"10.1007","volume":"38","author":[{"given":"Ana Margarida","family":"Ribeiro","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7419-300X","authenticated-orcid":false,"given":"Elvira","family":"Zappale","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,9,3]]},"reference":[{"issue":"3","key":"499_CR1","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1007\/s00245-013-9232-2","volume":"69","author":"F Abdullayev","year":"2014","unstructured":"Abdullayev, F., Bocea, M., Mih\u0103ilescu, M.: A variational characterization of the effective yield set for ionic polycrystals. 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