Neighborhoods of Parallel Wells in Two Dimensions That Separate Gradient Young Measures

We give estimates for the closed $\epsilon$-neighborhood $K_\epsilon$ of the set $K=\cup_{i=1}^k \lambda_iSO(2)\subset M^{2\times 2}$ of multiple parallel elastic wells such that $\dist(Du_j,\,K_\epsilon)\to 0$ in $L^1(\Omega)$ implies, up to a subsequence, $\dist(Du_j,\,(\lambda_{i_0}SO(2))_\epsilon)\to 0$ in $L^1(\Omega)$ for some $1\leq i_0\leq k$, where $\Omega\subset \Bbb R^2$ is an arcwise connected domain. In other words, $K_\epsilon$ separates gradient Young measures.