Remarks on Convexity in Dimension $(2,2)$
Tom 56 / 2008
Bulletin Polish Acad. Sci. Math. 56 (2008), 207-211
MSC: 26B25, 52A41.
DOI: 10.4064/ba56-3-3
Streszczenie
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.