# A representation result for Gamma-limit of supremal functionals

Abstract : In this paper we prove a representation result for the weak L infinity Gamma-limit of a sequence of supremal functionals $F_n(u): =ess \: sup_{x \: in \: A} f_n(x,u(x))$ where A is a subset of $R^n$ and u a function in L infinity (from A to $R^N$). This Gamma-limit is still a supremal functional and we give an explicit formula to obtain it. The basic tools we use are the definition of level convexity and the related notion of duality introduced by Volle.
Document type :
Journal articles

https://hal-ensta-paris.archives-ouvertes.fr//hal-00975031
Contributor : Aurélien Arnoux <>
Submitted on : Monday, April 7, 2014 - 5:37:15 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:04 AM

### Identifiers

• HAL Id : hal-00975031, version 1

### Citation

Ariela Briani, Francesca Prinari. A representation result for Gamma-limit of supremal functionals. Journal of Nonlinear and Convex Analysis, Yokohama, 2003, 2, pp.245-268. ⟨hal-00975031⟩

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