Semicontinuity and supremal representation in the calculus of variations
From MaRDI portal
Publication:1024723
DOI10.1007/s00245-007-9033-6zbMath1163.49012OpenAlexW2106435701MaRDI QIDQ1024723
Publication date: 17 June 2009
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-007-9033-6
absolute minimizerssupremal functionalscalculus of variations in \(L ^{\infty }\)level convex function
Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (5)
On the lower semicontinuity of supremal functional under differential constraints ⋮ On the lower semicontinuity and approximation of \(L^\infty\)-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 ⋮ Semicontinuity and relaxation of L ∞-functionals
Cites Work
- Unnamed Item
- Unnamed Item
- From 1-homogeneous supremal functionals to difference quotients: relaxation and \(\Gamma\)-convergence
- Supremal representation of \(L^\infty\) functionals
- Minimization problems for the functional \(\displaystyle{\sup_x}\, F(x,f(x),f'(x))\). I, II
- Extension of functions satisfying Lipschitz conditions
- Dielectric breakdown: optimal bounds
- HOMOGENIZATION OF L∞ FUNCTIONALS
- Hopf-Lax formulas for semicontinuous data
- Extension of range of functions
- Γ-convergence and absolute minimizers for supremal functionals
- The Euler equation and absolute minimizers of \(L^\infty\) functionals
- Lower semicontinuity of \(L^\infty\) functionals.
- Optimal Lipschitz extensions and the infinity Laplacian
This page was built for publication: Semicontinuity and supremal representation in the calculus of variations
