polyconvexity

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English

Etymology

From poly- +‎ convexity.

Noun

polyconvexity (uncountable)

  1. (mathematics) A generalization of the notion of convexity for functions defined on spaces of matrices.
    • 2015, Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff, “Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case”, in (Please provide the book title or journal name)‎:
      Thus we negatively answer Morrey's conjecture in the subclass of isochoric nonlinear energies, since polyconvexity implies quasiconvexity.

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