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arXiv · 1107.0072

Localization principle and relaxation

Jean-Philippe Mandallena
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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.

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Jean-Philippe Mandallena. 2011-06-30. Localization principle and relaxation. https://arxiv.org/abs/1107.0072

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