Two-dimensional examples of rank-one convex functions that are not quasiconvex

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Université des Sciences et, Technologies de Lille, Avenue Paul Langevin, 59655 Villeneuve d'Ascq, France
Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa, Poland

The aim of this note is to provide two-dimensional examples of rank-one convex functions which are not quasiconvex.

rank-one convex function, quasiconvexity

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