Localization principle and relaxation
Abstract
Relaxation theorems for multiple integrals on W1,p(;m), where p∈]1,∞[, are proved under general conditions on the integrand L:[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.
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