On the non-locality of quasiconvexity
Jan Kristensen
Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, UK
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Abstract
It is shown that in the class of smooth real-valued functions on matrices (, ) there can be no “local condition” which is equivalent to quasiconvexity.
Résumé
On démontre qu’il n’existe pas de condition locale qui dans l’espace des fonctions regulières est equivalente à celle de quasiconvexité.
Cite this article
Jan Kristensen, On the non-locality of quasiconvexity. Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), no. 1, pp. 1–13
DOI 10.1016/S0294-1449(99)80006-7