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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