Patrizio Neff (2005)
Annales Polonici Mathematici
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It is noted that the examples provided in the paper "Two-dimensional examples of rank-one convex functions that are not quasiconvex" by M. K. Benaouda and J. J. Telega, Ann. Polon. Math. 73 (2000), 291-295, contain unrecoverable errors.
Kewei Zhang (1998)
Annales de l'I.H.P. Analyse non linéaire
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Martin Kružík (2003)
Mathematica Bohemica
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We characterize generalized extreme points of compact convex sets. In particular, we show that if the polyconvex hull is convex in , , then it is constructed from polyconvex extreme points via sequential lamination. Further, we give theorems ensuring equality of the quasiconvex (polyconvex) and the rank-1 convex envelopes of a lower semicontinuous function without explicit convexity assumptions on the quasiconvex (polyconvex) envelope.
Šverák, Vladimír
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J. Sivaloganathan (1988)
Annales de l'I.H.P. Analyse non linéaire
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Pedregal, Pablo, Šverák, Vladimír (1998)
Journal of Convex Analysis
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