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References
Ball, J. M., A version of the fundamental theorem for Young measures, inPartial Differential Equations and Continuum Models of Phase Transitions (ed.M. Rascle, D. Serre, &M. Slemrod), 207–215, Springer-Verlag, 1989.
Ball, J. M., Convexity conditions and existence theorems in nonlinear elasticity,Arch. Rational Mech. Anal. 63 (1978), 337–403.
Ball, J. M. &Murat, F., Remarks on rank-one convexity and quasiconvexity, inProceedings of the 1990 Dundee Conference on Differential Equations.
Iwaniec, T. &Šverák, V., On mappings with integrable dilatation, preprint.
Kinderlehrer, D. &Pedregal, P., Characterization of Young measures generated by gradients,Arch. Rational Mech. Anal. 115 (1991), 329–367.
Meyers, N. G., Quasi-convexity and lower semi-continuity of multiple variational integrals of any order,Trans. Amer. Math. Soc. 119 (1965), 125–149.
Milnor, J.,Morse Theory, Princeton University Press, 1963.
Morrey, C. B.,Multiple Integrals in the Calculus of Variations, Springer, 1966.
Šverák, V., On regularity properties for the Monge-Ampère equation without convexity assumptions, preprint.
Šverák, V., Rank-one convexity does not imply quasiconvexity,Proc. Roy. Soc. Edinburgh 120 (1992), 185–189.
Tartar, L., The compensated compactness method applied to systems of conservations laws, inSystems of Nonlinear Partial Differential Equations (ed.J. M. Ball), Reidel, 1982.
Tartar, L., Some remarks on separately convex functions, preprint.
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Communicated by R. V.Kohn
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Šverák, V. New examples of quasiconvex functions. Arch. Rational Mech. Anal. 119, 293–300 (1992). https://doi.org/10.1007/BF01837111
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DOI: https://doi.org/10.1007/BF01837111