Finding new families of rank-one convex polynomials

DOI10.1016/j.anihpc.2008.08.002zbMath1184.26005OpenAlexW2001215685MaRDI QIDQ732513

Pablo Pedregal, Luis Bandeira

Publication date: 9 October 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78906

zbMATH Keywords

laminaterank-one convexity

Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25) Real polynomials: analytic properties, etc. (26C05)

Related Items (2)

Numerical approaches for investigating quasiconvexity in the context of Morrey's conjecture ⋮ Quasiconvexity: the quadratic case revisited, and some consequences for fourth-degree polynomials

Cites Work

• Elimination methods
• An example of a quasiconvex function that is not polyconvex in two dimensions
• Comprehensive Gröbner bases
• Convexity conditions and existence theorems in nonlinear elasticity
• Computing parametric geometric resolutions
• Quasi-convexity and the lower semicontinuity of multiple integrals
• Laminates and microstructure
• Some examples of rank one convex functions in dimension two
• Direct methods in the calculus of variations
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