On the lower semicontinuity of supremal functional under differential constraints

DOI10.1051/cocv/2014058zbMath1336.49015OpenAlexW2052736601MaRDI QIDQ2949588

Nadia Ansini, Francesca Prinari

Publication date: 2 October 2015

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.esaim-cocv.org/10.1051/cocv/2014058/pdf

zbMATH Keywords

lower semicontinuitysupremal functionals\(\Gamma\)-convergence\(L^p\)-approximation\({\mathcal A}\)-quasiconvexity

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Partial differential equations and systems of partial differential equations with constant coefficients (35E99)

Related Items (5)

On the lower semicontinuity and approximation of \(L^\infty\)-functionals ⋮ A relaxation result in the vectorial setting and power law approximation for supremal functionals ⋮ A sufficient condition for the lower semicontinuity of nonlocal supremal functionals in the vectorial case ⋮ A \(\Gamma\)-convergence result for optimal design problems ⋮ Vectorial variational problems in L ^∞ constrained by the Navier–Stokes equations*

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculus of variations in \(L^ \infty\)
• On the lower semicontinuity and approximation of \(L^\infty\)-functionals
• Semicontinuity and supremal representation in the calculus of variations
• An introduction to \(\Gamma\)-convergence
• Hopf-Lax-type formula for \(u_ t+ H(u, Du)=0\)
• Supremal representation of \(L^\infty\) functionals
• A-Quasiconvexity: Relaxation and Homogenization
• $\Gamma$-Convergence of Power-Law Functionals, Variational Principles in $L^{\infty},$ and Applications
• Semicontinuity and relaxation of L ∞-functionals
• Dielectric breakdown: optimal bounds
• $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
• Intégrandes normales et mesures paramétrées en calcul des variations
• Existence of Minimizers for NonLevel Convex Supremal Functionals
• Γ-convergence of functionals on divergence-free fields
• Γ-convergence and absolute minimizers for supremal functionals
• Power-Law Approximation under Differential Constraints
• Lower semicontinuity of \(L^\infty\) functionals.

This page was built for publication: On the lower semicontinuity of supremal functional under differential constraints