The natural best approximant in Orlicz spaces of Young measures

DOI10.1016/J.NA.2004.02.002zbMath1077.49013OpenAlexW1964189233MaRDI QIDQ1881092

Cristian Constantin Popa

Publication date: 4 October 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.02.002

zbMATH Keywords

Young measuresrelaxationOrlicz spacesbest approximation

Mathematics Subject Classification ID

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

Related Items (1)

Existence of solutions to the \(A\)-Laplace system via Young measures

Cites Work

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• Natural choice of \(L_ 1-\)approximants
• Parametrized measures and variational principles
• Orlicz-Young structures of Young measures
• Projections on convex sets in the relaxed limit
• Compact convergence of \(\sigma\)-fields and relaxed conditional expectation

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