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We show that for constant rank partial differential operators $\mathscr{A}$, generalized Young measures generated by sequences of $\mathscr{A}$-free measures can be characterized by duality with $\mathscr{A}$-quasiconvex integrands of linear growth.
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I. Fonseca and S. Müller: Relaxation of quasiconvex functionals in BV( Ω , 𝐑 p \Omega,\mathbf{R}^{p} ) for integrands f ( x , u , ∇ u ) f(x,u,\nabla u) . Arch. Ration. Mech. Anal
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M. Baía, M. Chermisi, J. Matias, and P.M. Santos: Lower semicontinuity and relaxation of signed functionals with linear growth in the context of A-quasiconvexity. Calc. Var. Partial Differential Equations
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G. De Philippis and F. Rindler: On the structure of 𝒜 \mathscr{A} -free measures and applications. Ann. of Math. (2)
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G. De Philippis and F. Rindler: Characterization of generalized Young measures generated by symmetric gradients. Arch. Ration. Mech. Anal
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B. Rai t
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2019
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B. Rai t
2019
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