Localization principle and relaxation

2011/06/30 by Mandallena, Jean-Philippe
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1107.0072

Abstract

Relaxation theorems for multiple integrals on W^1,p(Ω;\RR^m), where p∈]1,∞[, are proved under general conditions on the integrand L:\MM→[0,∞] 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.

Related

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