We introduce a method to find, in a systematic way, rank-one convex polynomials. We show how it works in several examples. It can also be applied to convexity along general cones.
Cite this article
Pablo Pedregal, Luís Bandeira, Finding new families of rank-one convex polynomials. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 5, pp. 1621–1634DOI 10.1016/J.ANIHPC.2008.08.002