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
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10.1512/iumj.2013.62.4928
10.1512/iumj.2013.62.4928
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Indiana Univ. Math. J. 62 (2013) 487 - 521
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