Remarks on Convexity in Dimension $(2,2)$
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) no. 3, pp. 207-211
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We consider different convexity notions for functions $F\colon\mathbb R^{2\times 2}\to\mathbb R$. We give a new characterisation of polyconvexity and a sufficient condition for quasiconvexity.
Keywords:
consider different convexity notions functions colon mathbb times mathbb characterisation polyconvexity sufficient condition quasiconvexity
Affiliations des auteurs :
Wojciech Kryński 1
@article{10_4064_ba56_3_3,
author = {Wojciech Kry\'nski},
title = {Remarks on {Convexity} in {Dimension} $(2,2)$},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {207--211},
publisher = {mathdoc},
volume = {56},
number = {3},
year = {2008},
doi = {10.4064/ba56-3-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba56-3-3/}
}
TY - JOUR AU - Wojciech Kryński TI - Remarks on Convexity in Dimension $(2,2)$ JO - Bulletin of the Polish Academy of Sciences. Mathematics PY - 2008 SP - 207 EP - 211 VL - 56 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ba56-3-3/ DO - 10.4064/ba56-3-3 LA - en ID - 10_4064_ba56_3_3 ER -
Wojciech Kryński. Remarks on Convexity in Dimension $(2,2)$. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) no. 3, pp. 207-211. doi: 10.4064/ba56-3-3
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