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Remarks on the quasiconvex envelope of some functions depending on quadratic forms

M. Bousselsal; H. Le Dret — 2002

Bollettino dell'Unione Matematica Italiana

We compute the quasiconvex envelope of certain functions defined on the space $M_{m n}$ of real $m \times n$ matrices. These functions are basically functions of a quadratic form on $M_{m n}$ . The quasiconvex envelope computation is applied to densities that are related to the James-Ericksen elastic stored energy function.

Rank-one-convex and quasiconvex envelopes for functions depending on quadratic forms.

Bousselsal, M.; Brighi, B. — 1997

Journal of Convex Analysis

Page 1

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