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On convexity properties of homogeneous functions of degree one*

Published online by Cambridge University Press:  14 November 2011

Bernard Dacorogna  and
Jean-Pierre Haeberly
Bernard Dacorogna
Affiliation:
Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
Jean-Pierre Haeberly
Affiliation:
Department of Mathematics, Fordham University, Bronx, NY 10458-5165, U.S.A.
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Abstract

We provide an explicit example of a function that is homogeneous of degree one, rank-one convex, but not convex.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 5 , 1996 , pp. 947 - 956
Copyright
Copyright © Royal Society of Edinburgh 1996

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References

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3Dacorogna, B. and Haeberly, J.-P.. Some numerical methods for the study of the convexity notions arising in the calculus of variations (in prep.).Google Scholar
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