From 1-homogeneous supremal functionals to difference quotients: relaxation and \(\Gamma\)-convergence

DOI10.1007/s00526-005-0354-5zbMath1105.47056OpenAlexW2077845503MaRDI QIDQ850810

Adriana Garroni, Francesca Prinari, Marcello Ponsiglione

Publication date: 6 November 2006

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-005-0354-5

zbMATH Keywords

variational methodsrelaxationFinsler metricsupremal functionals\(\Gamma\)-convergence

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Methods involving semicontinuity and convergence; relaxation (49J45) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (11)

Intrinsic geometry and analysis of Finsler structures ⋮ On the lower semicontinuity and approximation of \(L^\infty\)-functionals ⋮ Quasiconformal geometry and removable sets for conformal mappings ⋮ Variational problems concerning sub-Finsler metrics in Carnot groups ⋮ Lower semicontinuity and relaxation of nonlocal \(L^\infty\)-functionals ⋮ A relaxation result in the vectorial setting and power law approximation for supremal functionals ⋮ \(L^\infty\)-variational problems associated to measurable Finsler structures ⋮ Homogenization of two-phase metrics and applications ⋮ The role of intrinsic distances in the relaxation of \(L^\infty \)-functionals ⋮ Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems ⋮ Semicontinuity and supremal representation in the calculus of variations

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