Localization principle and relaxation

Details Localization principle and relaxation Localization principle and relaxation

2011-06-30

arxiv.org/abs/1107.0072v1

Mathematics

Classical Analysis and ODEs

16 pages

Scientific paper

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.

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