Non-differentiable functionals and singular sets of minima

We provide bounds for the Hausdorff dimension of the singular set of minima of functionals of the type ${\int }_{\Omega }F(x\text{,}v\text{,}Dv)$, where F is only Hölder continuous with respect to the variables $(x\text{,}v)$. To cite this article: J. Kristensen, G. Mingione, C. R. Acad. Sci. Paris, Ser. I 340 (2005).