What Does Rank-One Convexity Have to Do with Viscosity Solutions?

  • Pablo PedregalEmail author
Part of the Springer INdAM Series book series (SINDAMS, volume 27)


Relying on Hilbert’s classical theorem for non-negative polynomials as a main tool, we show that rank-one convex functions for 2 × 2-matrices admit a decomposition as a sum of a multiple of the determinant and a viscosity solution of a certain equation.



Partially supported by MINECO/FEDER grant MTM2013-47053-P, by PEII-2014-010-P of the Conserjería de Cultura (JCCM), and by grant GI20152919 of UCLM.


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Authors and Affiliations

  1. 1.INEI, U. Castilla-La ManchaCiudad RealSpain

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