On the Lower Semicontinuity of Quasiconvex Integrals

@inproceedings{Focardi2014OnTL,
title={On the Lower Semicontinuity of Quasiconvex Integrals},
author={Matteo Focardi and Paolo Marcellini},
year={2014}
}

In this paper, dedicated to Neil Trudinger in the occasion of his 70 birthday, we propose a relatively elementary proof of the weak lower semicontinuity in W 1,p of a general integral of the Calculus of Variations of the type (1.1) below with a quasiconvex density function satisfying p-growth conditions. Several comments and references on the related literature, and a subsection devoted to some properties of the maximal function operator, are also included.Â