Weak continuity and weak lower semicontinuity for some compensation operators

DOI10.1017/S0308210500024136zbMath0702.35054MaRDI QIDQ3480477

Pablo Pedregal

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

quasi-convexityweak lower semicontinuitycompensation operatorsYoung measures, weak continuity

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Linear first-order PDEs (35F05)

Related Items (8)

Young measure solutions of a class of forward--backward diffusion equations ⋮ Remarks about separately convex functions ⋮ On the condition of tetrahedral polyconvexity, arising from calculus of variations ⋮ Characterizations of Young measures generated by gradients ⋮ Some remarks on existence results for optimal boundary control problems ⋮ Exact relations for Green's functions in linear PDE and boundary field equalities: a generalization of conservation laws ⋮ New convexity conditions in the calculus of variations and compensated compactness theory ⋮ Gradient Young measures generated by sequences in Sobolev spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Quasiconvexity and relaxation of nonconvex problems in the calculus of variations
• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Quasiconvexity at the boundary, positivity of the second variation and elastic stability
• Weak continuity and weak lower semi-continuity of non-linear functionals
• Quasi-convexity and the lower semicontinuity of multiple integrals

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