IUMJ

Title: Characterization of generalized Young measures in the $mathcal{A}$-quasiconvexity context

Authors: Margarida Baia, Jose Matias and Pedro Santos

Issue: Volume 62 (2013), Issue 2, 487-521

Abstract:

This work is devoted to the characterization of generalized Young measures generated by sequences of bounded Radon measures $\{\mu_n\}\subset\mathcal{M}(\Omega;\mathbb{R}^d)$ (with $\Omega\subset\mathbb{R}^N$ an open bounded set), such that $\{\mathcal{A}\mu_n\}$ converges to zero strongly in $W^{-1,q}$ for some $q\in(1,N/(N-1))$, and such that $\mathcal{A}$ is a first-order partial differential operator with constant rank.