Characterization of generalized Young measures in the $mathcal{A}$-quasiconvexity context Margarida BaíaJose MatiasPedro Santos 49J4049J4549K2074B2074G65Young measureslower semicontinuityA-quasiconvexity 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. Indiana University Mathematics Journal 2013 text pdf 10.1512/iumj.2013.62.4928 10.1512/iumj.2013.62.4928 en Indiana Univ. Math. J. 62 (2013) 487 - 521 state-of-the-art mathematics http://iumj.org/access/