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)
Official URL: http://www.springerlink.com/openurl.asp?genre=arti...
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.
|Subjects:||O - Z > Partial differential equations|
A - C > Calculus of variations and optimal control
|Research Groups:||Oxford Centre for Nonlinear PDE|
|Deposited By:||John Ball|
|Deposited On:||30 Aug 2005|
|Last Modified:||20 Jul 2009 14:19|
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