Remarks on Convexity in Dimension $(2,2)$

Volume 56 / 2008

Wojciech Kryński Bulletin Polish Acad. Sci. Math. 56 (2008), 207-211 MSC: 26B25, 52A41. DOI: 10.4064/ba56-3-3

Abstract

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.

Authors

  • Wojciech KryńskiInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-956 Warszawa, Poland
    e-mail

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