Convexity Conditions for Rotationally Invariant Functions in Two Dimensions

Miloslav Šilhavý

A chapter in Applied Nonlinear Analysis, 2002, pp 513-530 from Springer

Abstract: Abstract Rotationally invariant functions can be represented as functions of the (signed) singular values of their tensor arguments. In two dimensions, the paper expresses the ordinary convexity, polyconvexity, and rank 1 convexity of the rotationally invariant function in terms of its representation, with the emphasis on the functions invariant only with respect to the proper orthogonal group.

Keywords: Rank one convexity; isotropy; stored energies (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_35

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DOI: 10.1007/0-306-47096-9_35

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