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

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Publication:339980
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DOI10.1134/S1064562416040207zbMath1356.49017MaRDI QIDQ339980

Jean-Philippe Mandallena, Mikhail A. Sychev

Publication date: 11 November 2016

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


zbMATH Keywords

integral functionalslower semicontinuous envelopes


Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)


Related Items

Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger-Sobolev spaces



Cites Work

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  • Solution of a Ball-Murat problem
  • Quasiconvexity and relaxation of nonconvex problems in the calculus of variations
  • \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
  • Relaxation of multiple integral in subcritical Sobolev spaces
  • Convexity conditions and existence theorems in nonlinear elasticity
  • Attainment and relaxation results in special classes of deformations
  • A necessary and sufficient condition for lower semicontinuity
  • The lower quasiconvex envelope of the stored energy function for an elastic crystal
  • Some Open Problems in Elasticity
  • Localization principle and relaxation
  • Semicontinuity problems in the calculus of variations
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