Remarks on the lower semicontinuity of quasiconvex integrals

DOI10.1007/BF01210624zbMath0844.49011OpenAlexW2035288175MaRDI QIDQ1902878

Jiří Souček, Giuseppe Modica, Mariano Giaquinta

Publication date: 3 December 1995

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01210624

zbMATH Keywords

weak convergencelower semicontinuityquasiconvex functionsCartesian currentsquasiconvex integrals

Mathematics Subject Classification ID

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

Related Items (1)

A new approach to Young measure theory, relaxation and convergence in energy

Cites Work

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• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
• On the definition and the lower semicontinuity of certain quasiconvex integrals
• Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
• Relaxation of multiple integral in subcritical Sobolev spaces
• New lower semicontinuity results for polyconvex integrals
• Lower semicontinuity of quasiconvex integrals
• A direct proof for lower semicontinuity of polyconvex functionals
• Further remarks on the lower semicontinuity of polyconvex integrals
• Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $
• Semicontinuity problems in the calculus of variations

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