On lower semicontinuity in \(BH^p\) and 2-quasiconvexification

DOI10.1007/BF01235532zbMath1040.49017MaRDI QIDQ1404475

Roberto Paroni, Giovanni Leoni, Irene Fonseca

Publication date: 21 August 2003

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

zbMATH Keywords

quasiconvexitylower semicontinuityCarathéodory functionSBVsecond-order structured deformation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (4)

Thin elastic films: The impact of higher order perturbations ⋮ Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity ⋮ On a $\Gamma$-Limit of Willmore Functionals with Additional Curvature Penalization Term ⋮ A lower semicontinuity result for some integral functionals in the space \(SBD\)

Cites Work

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• Remarks on Chacon's Biting Lemma
• Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $
• On Lower Semicontinuity of Integral Functionals. I

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