Remarks on the quasiconvex envelope of some functions depending on quadratic forms
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 2, pp. 469-486
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
We compute the quasiconvex envelope of certain functions defined on the space $M_{mn}$ of real $m \times n$ matrices. These functions are basically functions of a quadratic form on $M_{mn}$. The quasiconvex envelope computation is applied to densities that are related to the James-Ericksen elastic stored energy function.
@article{BUMI_2002_8_5B_2_a10,
author = {Bousselsal, M. and Le Dret, H.},
title = {Remarks on the quasiconvex envelope of some functions depending on quadratic forms},
journal = {Bollettino della Unione matematica italiana},
pages = {469--486},
publisher = {mathdoc},
volume = {Ser. 8, 5B},
number = {2},
year = {2002},
zbl = {1177.49009},
mrnumber = {MR1911201},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_2_a10/}
}
TY - JOUR AU - Bousselsal, M. AU - Le Dret, H. TI - Remarks on the quasiconvex envelope of some functions depending on quadratic forms JO - Bollettino della Unione matematica italiana PY - 2002 SP - 469 EP - 486 VL - 5B IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_2_a10/ LA - en ID - BUMI_2002_8_5B_2_a10 ER -
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Bousselsal, M.; Le Dret, H. Remarks on the quasiconvex envelope of some functions depending on quadratic forms. Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 2, pp. 469-486. http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_2_a10/