Abstract
We show that for any compact set K ? MN×n, LC(K) = C(K) if and only if Q(K) = C(K), LC(K), Q(K) and C(K) being the closed lamination convex hull, quasiconvex hull and convex hull of K respectively. When K ? M2×2, we show that LC(K) = C(K) if and only if P(K) = C(K), where P(K) is the polyconvex hull of K. We give some estimates of these relations by using quasiconvexifications of distance functions.
Original language | English |
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Pages (from-to) | 143-160 |
Number of pages | 18 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 6 |
Issue number | 2 |
Publication status | Published - 1998 |