Lower semi-continuity of integrals with G-quasiconvex potential
Functional Analysis
2018-08-29 v5
Abstract
This paper introduces the proper notion of variational quasiconvexity associated to a group of diffeomorphisms. We prove a lower semicontinuity theorem connected to this notion. In the second part of the paper we apply this result to a class of functions introduced in [5]. Such functions are quasiconvex, hence they induce lower semicontinuous integrals.
Cite
@article{arxiv.math/0105097,
title = {Lower semi-continuity of integrals with G-quasiconvex potential},
author = {Marius Buliga},
journal= {arXiv preprint arXiv:math/0105097},
year = {2018}
}