A note about weak \(\ast\) lower semicontinuity for functionals with linear growth in \(W^{1,1} \times L^1\)

DOI10.1007/s41808-017-0006-xzbMath1383.49019OpenAlexW2768794331MaRDI QIDQ683841

Elvira Zappale, Hamdi Zorgati

Publication date: 9 February 2018

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-017-0006-x

zbMATH Keywords

relaxationlower semicontinuitylinear growthquasiconvexity-convexity

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Cites Work

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• Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $
• Integral representation results in BV × L^p
• Lower semicontinuous envelopes in W^1,1×L^p
• Semicontinuity problems in the calculus of variations

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