Remarques sur les notions de polyconvexité, quasi-convexité et convexité de rang 1. (Remarks on polyconvexity, quasi-convexity and rank 1 convexity)

zbMath0609.49007MaRDI QIDQ1086827

Bernard Dacorogna

Publication date: 1985

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

quasiconvexitypolyconvexityrank 1 convexity

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Methods involving semicontinuity and convergence; relaxation (49J45) Convexity of real functions of several variables, generalizations (26B25)

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Relaxation of some functionals of the calculus of variations ⋮ Quelques remarques sur les notions de $1-$rang convexité et de polyconvexité en dimensions 2 et 3 ⋮ The quasiconvexification of a cubic polynomial at the origin ⋮ Relaxation results for functions depending on polynomials changing sign on rank-one matrices ⋮ The relaxation of a double-well energy ⋮ Relaxation of singular functionals defined on Sobolev spaces ⋮ Inverse quasiconvexification ⋮ Unnamed Item

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