JournalsaihpcVol. 26, No. 5pp. 1621–1634

Finding new families of rank-one convex polynomials

  • Pablo Pedregal

    Universidad de Castilla-La Mancha, ETSI Industriales, 13071 Ciudad Real, Spain

  • Luís Bandeira

    CIMA-UE, Departamento de Matemática, Universidade de Évora, Rua Romão Ramalho, 59, 7000-671 Évora, Portugal
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Abstract

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. 1621–1634

DOI 10.1016/J.ANIHPC.2008.08.002