Equivalence between rank-one convexity and polyconvexity for isotropic sets of (Part II)
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Analysis
Reference40 articles.
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2. Existence of minimizers for nonquasiconvex functionals arising in optimal design;Allaire;Ann. Inst. H. Poincaré Anal. Non Linéaire,1998
3. On a counterexample of a rank-one convex function which is not polyconvex in the case N = 2;Aubert;Proc. Roy. Soc. Edinburgh,1987
4. Quelques remarques sur les notions de 1-rang convexité et de polyconvexité en dimensions 2 et 3;Aubert;RAIRO Modél. Math. Anal. Numér.,1988
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1. Automatic Quasiconvexity of Homogeneous Isotropic Rank-One Convex Integrands;Archive for Rational Mechanics and Analysis;2022-05-22
2. A rank-one convex, nonpolyconvex isotropic function on with compact connected sublevel sets;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2022-02-02
3. Quasiconvexity equals lamination convexity for isotropic sets of 2 × 2 matrices;Advances in Calculus of Variations;2015-01-01
4. Polyconvexity equals rank-one convexity for connected isotropic sets in;Comptes Rendus Mathematique;2003-08
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