Lower semicontinuity and relaxation of signed functionals with linear growth in the context of \(\mathcal A\)-quasiconvexity

DOI10.1007/s00526-012-0524-1zbMath1271.49008OpenAlexW2419786652WikidataQ61442423 ScholiaQ61442423MaRDI QIDQ353113

Margarida Baía, Milena Chermisi, José Matias, Pedro Miguel Santos

Publication date: 12 July 2013

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-012-0524-1

zbMATH Keywords

relaxationlower semicontinuitylinear growth\(\mathcal A\)-quasiconvexitypartial differential operator with constant ranksigned functionalsweak\(^\ast\) convergence of measures

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Methods involving semicontinuity and convergence; relaxation (49J45) Spaces of measures, convergence of measures (28A33)

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Cites Work

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• Relaxation of signed integral functionals in BV
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• On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals
• \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap
• A-Quasiconvexity: Relaxation and Homogenization
• Lower semicontinuity and Young measures in BV without Alberti's Rank-One Theorem
• Rank one property for derivatives of functions with bounded variation
• $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
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