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MiS Preprint
1/2000

Conditions for equality of hulls in the calculus of variations

Georg Dolzmann, Bernd Kirchheim and Jan Kristensen

Abstract

We simplify and sharpen several results by K. Zhang concerning properties of quasiconvex hulls of sets and quasiconvex envelopes of their distance functions. The approach emphasizes the underlying geometry and in particular we show that Kpc=Kc implies Krc=Kc if and only if min{m,n} <= 2 thus answering a question raised in
K.W. Zhang, On various semiconvex hulls in the calculus of variations, Calc. Var. PDE 6 (1998), 143 - 160.

Received:
Jan 6, 2000
Published:
Jan 6, 2000
MSC Codes:
26B15, 74N15
Keywords:
gradient young measures, quaiconvex hull, distance function

Related publications

inJournal
2000 Repository Open Access
Georg Dolzmann, Bernd Kirchheim and Jan Kristensen

Conditions for equality of hulls in the calculus of variations

In: Archive for rational mechanics and analysis, 154 (2000) 2, pp. 93-100