JournalsaihpcVol. 16, No. 1pp. 1–13

On the non-locality of quasiconvexity

  • Jan Kristensen

    Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, UK
On the non-locality of quasiconvexity cover
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Abstract

It is shown that in the class of smooth real-valued functions on n × m matrices (n ≥ 3, m ≥ 2) 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