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A polyconvexity condition in dimension two

Published online by Cambridge University Press:  14 November 2011

H. Hartwig
H. Hartwig
Affiliation:
Universität Leipzig, FB Mathematik/Informatik, Augustusplatz 10/11, D-04109 Leipzig, Germany
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Extract

We state a necessary and sufficient polyconvexity condition in R2X2 for functions of class C1. This condition is applied to f(X) = |X|2(|X|2 −2 det X) for obtaining a convex representation in R2X2 x R.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 5 , 1995 , pp. 901 - 910
Copyright
Copyright © Royal Society of Edinburgh 1995

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