Ball, J. M. Does rank-one convexity imply quasiconvexity? (English) Zbl 0613.49014 Metastability and incompletely posed problems, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 3, 17-32 (1987). [For the entire collection see Zbl 0604.00008.] This paper is devoted to investigate the relation between quasiconvexity and rank-one convexity. Essentially it is proved that rank-one convexity is a necessary but not sufficient condition for quasiconvexity. Reviewer: R.Schianchi Cited in 5 Documents MSC: 49J45 Methods involving semicontinuity and convergence; relaxation 26B25 Convexity of real functions of several variables, generalizations Keywords:quasiconvexity; rank-one convexity Citations:Zbl 0604.00008 PDFBibTeX XML