# A representation result for Gamma-limit of supremal functionals

2003

Publication type:

Paper in peer-reviewed journals

Journal:

Journal of Nonlinear and Convex Analysis, vol. 2,, pp. 245-268

HAL:

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.

BibTeX:

@article{Bri-Pri-2003, author={Ariela Briani and Francesca Prinari }, title={A representation result for Gamma-limit of supremal functionals }, journal={Journal of Nonlinear and Convex Analysis }, year={2003 }, volume={2, }, pages={245--268}, }