Examples of rank-one convex functions

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Abstract

We construct rank-one convex functions which are not convex and have linear growth at infinity. We show that these functions could be useful in some problems concerning weak convergence of gradients if we were able to prove that they are quasiconvex. This question, however, seems to be open.

Original languageEnglish (US)
Pages (from-to)237-242
Number of pages6
JournalProceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume114
Issue number3-4
DOIs
StatePublished - Jan 1 1990

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