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Math. Anal."],"published-print":{"date-parts":[[2025,6,30]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>An Ahlfors-type regularity result for free-discontinuity energies defined on the space [Formula: see text] of special functions of bounded variation with [Formula: see text]-growth, where [Formula: see text] is a generalized Orlicz function, is proved. Our analysis expands on the regularity theory for minimizers of a class of free-discontinuity problems in the nonstandard growth case.<\/jats:p>","DOI":"10.1137\/24m1660474","type":"journal-article","created":{"date-parts":[[2025,5,8]],"date-time":"2025-05-08T03:25:26Z","timestamp":1746674726000},"page":"2229-2254","source":"Crossref","is-referenced-by-count":1,"title":["Strong Existence for Free-Discontinuity Problems with Nonstandard Growth"],"prefix":"10.1137","volume":"57","author":[{"given":"Chiara","family":"Leone","sequence":"first","affiliation":[{"name":"Department of Mathematics and Applications \u201cR. Caccioppoli,\u201d University of Naples Federico II, Monte S. Angelo, 80126 Naples, Italy."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8253-1715","authenticated-orcid":true,"given":"Giovanni","family":"Scilla","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Applications \u201cR. 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