On the non-locality of quasiconvexity

  • Jan Kristensen

    Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, UK

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