  We fix a Finsler norm $F$ and, using the anisotropic curvature flow, we prove
that the anisotropic maximum curvature $k^F_{\max}$ of a smooth Jordan curve is
such that $ k^F_{\max}(\gamma)\geq \sqrt{\kappa/A}$ , where $A$ is the area
enclosed by $\gamma$ and $\kappa$ the area of the unitary Wulff shape
associated to the anisotropy $F$.
