Weak lower semicontinuity for non coercive polyconvex integrals

DOI10.1515/ACV.2008.006zbMath1146.49008MaRDI QIDQ3516740

Paolo Marcellini, Elvira Mascolo, Micol Amar, Virginia De Cicco

Publication date: 11 August 2008

Published in: Advances in the Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

lower semicontinuitychain rulevector-valued mapsJacobian determinantspolyconvex integrals

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (3)

Weak lower semicontinuity for polyconvex integrals in the limit case ⋮ Lower semicontinuity for polyconvex integrals without coercivity assumptions ⋮ Nonautonomous chain rules in BV with Lipschitz dependence

Cites Work

• A chain rule formula in \(BV\) and application to lower semicontinuity
• Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
• Convexity conditions and existence theorems in nonlinear elasticity
• New lower semicontinuity results for polyconvex integrals
• A direct proof for lower semicontinuity of polyconvex functionals
• Weak lower semicontinuity of polyconvex integrals: A borderline case

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