We thank Emil Wiedemann for pointing out that in the proof of the sufficiency part of Theorem 9 (p. 584) in [2] the reduction to the case with underlying deformation zero does not work. This is so, because in the definition of μ it might happen that μ ∞ x is not a positive measure. The current proof works only if one restricts attention to the subclass of Young measures μ with underlying deformation u ∈ BV( ; R m ) that admit a generating sequence of the special form (u + ϕ j ), where (ϕ j ) ⊂ W 1,1 ( ; R m ) with ϕ j * 0. Instead, to prove Theorem 9 in the stated generality, we extend Step 1 in the proof to the case of Young measures with arbitrary underlying deformation.For u ∈ BV( ; R m ) we letthat is, the set of gradient Young measures that can be generated by sequences converging weakly* to u in BV( ; R m ). First we need the following approximation lemma in BV( ; R m ).Lemma 1 Let u ∈ BV( ; R m ) and ε > 0. Then, there exists a countable family Q of (rotated) rectangles Q ⊂ and a mapping v ∈ BV( ; R m ) with the following properties:The online version of the original article can be found under doi:10.1007/s00205-009-0287-9.1 Here and in the following the numbers refer to those in [2], and we also use the notation introduced there.

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