Authors
Citation
H. Hartwig, A POLYCONVEXITY CONDITION IN DIMENSION-2, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 125, 1995, pp. 901-910
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
ISSN journal
03082105
Volume
125
Year of publication
1995
Part
5
Pages
901 - 910
Database
ISI
SICI code
0308-2105(1995)125:<901:APCID>2.0.ZU;2-K
Abstract
We state a necessary and sufficient polyconvexity condition in R(2 x 2
) for functions of class C-1. This condition is applied to f(X) = \X\(
2)(\X\(2) - 2 det X) for obtaining a convex representation in R(2 x 2)
X R.