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On various semiconvex hulls in the calculus of variations

journal contribution
posted on 2023-06-08, 09:07 authored by Kewei Zhang
We show that for any compact set , if and only if , , and being the closed lamination convex hull, quasiconvex hull and convex hull of respectively. When , we show that if and only if , where is the polyconvex hull of . We give some estimates of these relations by using quasiconvexifications of distance functions.

History

Publication status

  • Published

Journal

Calculus of Variations and Partial Differential Equations

ISSN

0944-2669

Publisher

Springer Verlag

Issue

2

Volume

6

Page range

143-160

ISBN

0944-2669

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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