On various semiconvex hulls in the calculus of variations

Kewei Zhang

Research output: Contribution to journalArticle

23 Citations (Scopus)

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 languageEnglish
Pages (from-to)143-160
Number of pages18
JournalCalculus of Variations and Partial Differential Equations
Volume6
Issue number2
Publication statusPublished - 1998

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