Existence of Minimizers for NonLevel Convex Supremal Functionals

DOI10.1137/13094390XzbMath1307.49022arXiv1308.3307MaRDI QIDQ5173283

Elvira Zappale, Ana Margarida Ribeiro

Publication date: 9 February 2015

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3307

zbMATH Keywords

differential inclusionsminimizersconvexityabsolute minimizerssupremal functionals

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convexity of real functions of several variables, generalizations (26B25) Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (13)

Generalised vectorial \(\infty\)-eigenvalue nonlinear problems for \(L^{\infty}\) functionals ⋮ 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 ⋮ A sufficient condition for the lower semicontinuity of nonlocal supremal functionals in the vectorial case ⋮ A minimisation problem in L^∞ with PDE and unilateral constraints ⋮ An $L^\infty$ Regularization Strategy to the Inverse Source Identification Problem for Elliptic Equations ⋮ A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains ⋮ Vectorial variational principles in \(L^\infty\) and their characterisation through PDE systems ⋮ Inverse Optical Tomography through PDE Constrained Optimization $L^\infty$ ⋮ On the inverse source identification problem in \(L^{\infty}\) for fully nonlinear elliptic PDE ⋮ Vectorial variational problems in L ^∞ constrained by the Navier–Stokes equations*

This page was built for publication: Existence of Minimizers for NonLevel Convex Supremal Functionals