Conditions on integral functional implying validity of the theory of weak convergence

DOI10.1134/S1064562411040259zbMath1246.46044MaRDI QIDQ656392

Mikhail A. Sychev

Publication date: 17 January 2012

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

zbMATH Keywords

weak convergencerelaxationlower semicontinuityYoung measureCarathéodory conditionintergral functional

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

• Young measure approach to characterization of behaviour of integral functionals on weakly convergent sequences by means of their integrands
• Gradient Young measures generated by sequences in Sobolev spaces
• Attainment and relaxation results in special classes of deformations
• A new approach to Young measure theory, relaxation and convergence in energy
• Sets of lower semicontinuity and stability of integral functionals
• Semicontinuity problems in the calculus of variations

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