Lower Semicontinuity in SBV for Integrals with Variable Growth

DOI10.1137/090781103zbMath1230.49007OpenAlexW2023952440MaRDI QIDQ5198447

Virginia De Cicco, Anna Verde, Chiara Leone

Publication date: 8 August 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5c3874ed22cfbeac27dc721e1f77ee7df54a111a

zbMATH Keywords

lower semicontinuityvector-valued maps\(p(x)\)-growthspecial functions of bounded variation (SBV)quasi-convex integrals

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

Integral representation and \(\Gamma\)-convergence for free-discontinuity problems with \(p(\cdot)\)-growth, Regularity of minimizers for free-discontinuity problems with p(·)-growth, Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth