Rank-one convexity implies quasi-convexity on certain hypersurfaces

DOI10.1017/S0308210500002912zbMath1054.49018MaRDI QIDQ4454343

Nirmalendu Chaudhuri, Stefan Müller

Publication date: 8 March 2004

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Young measuresquasiconvexityrank-one convexity

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45)

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Two-by-two upper triangular matrices and Morrey's conjecture ⋮ Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity ⋮ Unnamed Item ⋮ Quasiconvexity: the quadratic case revisited, and some consequences for fourth-degree polynomials ⋮ Rank-(n – 1) convexity and quasiconvexity for divergence free fields

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