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 language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the Royal Society of Edinburgh: Section A Mathematics|
|State||Published - Jan 1 1990|