Polyconvexity implies Hill's inequality in $\mathrm{SL}(2)$

Ionel-Dumitrel Ghiba, Patrizio Neff, Maximilian P. Wollner

For compressible nonlinear isotropic elasticity it is well known that rank-one convexity, polyconvexity and the monotonicity of the Cauchy stress tensor with respect to the logarit…