Abstract

We report on an attempt to find a counterexample to the statement that rank-one convexity does not imply quasiconvexity in the case of 2×2 matrices. The failure of such attempt is a consequence of some surprising computations.

Author information

Contact details are reproduced from the original publication and may be historical.

Pablo Pedregal

ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain

Vladimír Šverák

School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA

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Suggested citation

P. Pedregal, V. Šverák. “A Note on Quasiconvexity and Rank-One Convexity for 2x2 Matrices.” Journal of Convex Analysis 5 (1998), No. 1, 107–117. https://doi.org/10.68381/jca05-8

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Published by Heldermann Verlag, 1998. Rights now held by Banach Press LLC.