*Published Paper*

**Inserted:** 29 jul 2002

**Last Updated:** 10 nov 2003

**Journal:** Journal of Nonlinear and Convex Analysis

**Volume:** 2

**Pages:** 245-268

**Year:** 2003

**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.
**

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