Model problems from nonlinear elasticity: partial regularity results (Q5920411)

In this paper the authors affirm, without proof, that every weak and strong minimizer \(u \in W^{1,2}( \Omega, \mathbb R^3)\) of a functional that arises from nonlinear elasticity problems is partially regular (i.e. there exists an open subset \(\Omega_0\) of \(\Omega\) such that \(\text{meas}(\Omega \;\Omega_0)=0\) and \(u \in C^{1,\alpha}(\Omega_0)\) for every \( \alpha < 1\)).