Ball, J. M. and Kirchheim, Bernd and Kristensen, Jan (2000) Regularity of quasiconvex envelopes. Calculus of Variations and Partial Differential Equations, 11 (4). pp. 333-359. ISSN 0944-2669 (Paper) 1432-0835 (Online)
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Abstract
We prove that the quasiconvex envelope of a differentiable function which satisfies natural growth conditions at infinity is a function. Without the growth conditions the result fails in general. We also obtain results on higher regularity (in the sense of
) and similar results for other types of envelopes, including polyconvex and rank-1 convex envelopes.
| Item Type: | Article |
|---|---|
| Subjects: | O - Z > Partial differential equations A - C > Calculus of variations and optimal control |
| Research Groups: | Oxford Centre for Nonlinear PDE |
| ID Code: | 196 |
| Deposited By: | John Ball |
| Deposited On: | 30 Aug 2005 |
| Last Modified: | 20 Jul 2009 14:19 |
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