Localization principle and relaxation
Classical Analysis and ODEs
2013-02-06 v3
Abstract
Relaxation theorems for multiple integrals on W^{1,p}(\Omega;\RR^m), where p\in]1,\infty[, are proved under general conditions on the integrand L:\MM\to[0,\infty] which is Borel measurable and not necessarily finite. We involve a localization principle that we previously used to prove a general lower semicontinuity result. We apply these general results to the relaxation of nonconvex integrals with exponential-growth.
Cite
@article{arxiv.1107.0072,
title = {Localization principle and relaxation},
author = {Jean-Philippe Mandallena},
journal= {arXiv preprint arXiv:1107.0072},
year = {2013}
}
Comments
22 pages. arXiv admin note: text overlap with arXiv:1106.2828