Regularity of quasiconvex envelopes

We prove that the quasiconvex envelope of a differentiable function which satisfies natural growth conditions at infinity is a $C^1$ function. Without the growth conditions the result fails in general. We also obtain results on higher regularity (in the sense of $C^{1,\alpha}_{\rm loc}$) and similar...

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Bibliographic Details
Main Authors: Ball, J, Kirchheim, B, Kristensen, J
Format: Journal article
Published: 2000