Equi-integrability results for 3D-2D dimension reduction problems

Abstract

3D-2D asymptotic analysis for thin structures rests on the mastery of scaled gradients bounded in Here it is shown that, up to a subsequence, may be decomposed as where carries all the concentration effects, i.e. is equi-integrable, and captures the oscillatory behavior, i.e. in measure. In addition, if is a recovering sequence then nearby