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Our aim is to propose such a family of problems in the <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\text {div}}{-}{\\text {curl}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:mtext>div<\/mml:mtext>\n                    <mml:mo>-<\/mml:mo>\n                    <mml:mtext>curl<\/mml:mtext>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-situation, and explore the corresponding <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\mathcal {A}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>A<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-polyconvexity condition as the main structural assumption to ensure weak lower semicontinuity and existence results.<\/jats:p>","DOI":"10.1007\/s00032-023-00382-5","type":"journal-article","created":{"date-parts":[[2023,7,6]],"date-time":"2023-07-06T13:02:19Z","timestamp":1688648539000},"page":"293-314","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["$${\\mathcal {A}}$$-Variational Principles"],"prefix":"10.1007","volume":"91","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8612-5650","authenticated-orcid":false,"given":"Lu\u00eds","family":"Bandeira","sequence":"first","affiliation":[]},{"given":"Pablo","family":"Pedregal","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,7,6]]},"reference":[{"issue":"2","key":"382_CR1","doi-asserted-by":"publisher","first-page":"487","DOI":"10.1512\/iumj.2013.62.4928","volume":"62","author":"M Ba\u00eda","year":"2013","unstructured":"Ba\u00eda, M., Matias, J., Santos, P.M.: Characterization of generalized Young measures in the $${\\cal{A} }$$-quasiconvexity context. 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