Semicontinuity and relaxation of L ∞-functionals

DOI10.1515/ACV.2009.003zbMath1163.49011OpenAlexW2019930955MaRDI QIDQ3624552

Francesca Prinari

Publication date: 30 April 2009

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv.2009.003

zbMATH Keywords

relaxationsupremal functionalcalculus of variations in \(L^\infty\)level convex function\(L^\infty\)-functional

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (6)

On the lower semicontinuity of supremal functional under differential constraints ⋮ On the lower semicontinuity and approximation of \(L^\infty\)-functionals ⋮ Lower semicontinuity and relaxation of nonlocal \(L^\infty\)-functionals ⋮ A relaxation result in the vectorial setting and power law approximation for supremal functionals ⋮ The role of intrinsic distances in the relaxation of \(L^\infty \)-functionals ⋮ Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals

Cites Work

• Semicontinuity and supremal representation in the calculus of variations
• Supremal representation of \(L^\infty\) functionals
• Γ-convergence and absolute minimizers for supremal functionals
• Lower semicontinuity of \(L^\infty\) functionals.

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