Remarks on Convexity in Dimension $(2,2)$
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) no. 3, pp. 207-211.

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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.
DOI : 10.4064/ba56-3-3
Keywords: consider different convexity notions functions colon mathbb times mathbb characterisation polyconvexity sufficient condition quasiconvexity

Wojciech Kryński 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
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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. http://geodesic.mathdoc.fr/articles/10.4064/ba56-3-3/

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