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• W2023952440 abstract "Previous article Lower Semicontinuity in SBV for Integrals with Variable GrowthVirginia De Cicco, Chiara Leone, and Anna VerdeVirginia De Cicco, Chiara Leone, and Anna Verdehttps://doi.org/10.1137/090781103PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractWe prove a lower semicontinuity result for free discontinuity energies with a quasiconvex volume term having nonstandard growth and a surface term.[1] E. Acerbi and and N. Fusco, Semicontinuity problems in the calculus of variations, Arch. Ration. Mech. Anal., 86 (1984), pp. 125–145. AVRMAW 0003-9527 CrossrefISIGoogle Scholar[2] E. Acerbi and and G. Mingione, Regularity results for a class of quasiconvex functionals with nonstandard growth, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 30 (2001), pp. 311–340. PSNAAI 0391-173X Google Scholar[3] E. Acerbi and and G. Mingione, Gradient estimates for the $p(x)$-Laplacean system, J. Reine Angew. Math., 584 (2005), pp. 117–148. 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RJMPEL 1061-9208 Google ScholarKeywordsvector-valued mapsquasi-convex integrals$p(x)$-growthlower semicontinuity Previous article FiguresRelatedReferencesCited ByDetails Structure of Variable Lebesgue SpacesVariable Lebesgue Spaces | 20 November 2012 Cross Ref Volume 42, Issue 6| 2010SIAM Journal on Mathematical Analysis2337-3128 History Submitted:23 December 2009Accepted:06 October 2010Published online:21 December 2010 InformationCopyright © 2010 Society for Industrial and Applied MathematicsKeywordsvector-valued mapsquasi-convex integrals$p(x)$-growthlower semicontinuityMSC codes49J45PDF Download Article & Publication DataArticle DOI:10.1137/090781103Article page range:pp. 3112-3128ISSN (print):0036-1410ISSN (online):1095-7154Publisher:Society for Industrial and Applied Mathematics" @default.
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