Radial representation of lower semicontinuous envelope
Classical Analysis and ODEs
2013-09-18 v2
Abstract
We give an extension to a nonconvex setting of the classical radial representation result for lower semicontinuous envelope of a convex function on the boundary of its effective domain. We introduce the concept of radial uniform upper semicontinuity which plays the role of convexity, and allows to prove a radial representation result for nonconvex functions. An application to the relaxation of multiple integrals with constraints on the gradient is given.
Cite
@article{arxiv.1211.6504,
title = {Radial representation of lower semicontinuous envelope},
author = {Omar Anza Hafsa and Jean-Philippe Mandallena},
journal= {arXiv preprint arXiv:1211.6504},
year = {2013}
}
Comments
16 pages