Solution of a Ball-Murat problem

DOI10.1134/S1064562415060253zbMath1337.49018MaRDI QIDQ265979

Mikhail A. Sychev

Publication date: 13 April 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

integral functionalslower semicontinuityminimizationquasi-convexityLavrent'ev phenomenon

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (1)

New classes of integral functionals for which the integral representation of lower semicontinuous envelopes is valid

Cites Work

• Unnamed Item
• Lower semicontinuity via \(W^{1,q}\)-quasiconvexity
• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
• Convexity conditions and existence theorems in nonlinear elasticity
• The Lavrentiev gap phenomenon in nonlinear elasticity
• Attainment and relaxation results in special classes of deformations
• A new approach to Young measure theory, relaxation and convergence in energy
• Quasi-convexity and the lower semicontinuity of multiple integrals
• Semicontinuity problems in the calculus of variations

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