Geodesic
Laminates Supported on Cubes
Journal of convex analysis, Tome 24 (2017) no. 4, pp. 1217-1237
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We study the relationship between rank-one convexity and quasiconvexity in the space of 2×2 matrices. We show that a certain procedure for constructing homogeneous gradient Young measures from periodic deformations, that arises from V. Sverák's celebrated counterexample in higher dimensions, always yields laminates in the 2×2 case.
Classification : 49J10, 49K10
Mots-clés : Gradients, quasiconvexity, rank-one convexity, laminates 
@article{JCA_2017_24_4_JCA_2017_24_4_a7,
     author = {G. Sebesty\'en and L. Sz\'ekelyhidi Jr.},
     title = {Laminates {Supported} on {Cubes}},
     journal = {Journal of convex analysis},
     pages = {1217--1237},
     year = {2017},
     volume = {24},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_4_JCA_2017_24_4_a7/}
}
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G. Sebestyén; L. Székelyhidi Jr. Laminates Supported on Cubes. Journal of convex analysis, Tome 24 (2017) no. 4, pp. 1217-1237. http://geodesic.mathdoc.fr/item/JCA_2017_24_4_JCA_2017_24_4_a7/