Show that if $\Omega \subset \mathbb{R}^N$ its open set, $mp=N$, $p>1$, so $W^{m,p}(\Omega)$ (sobolev space) is not embedding in $L^{\infty}(\Omega)$.
I trying use contradition with Gagliado, or find a function. In book of lions he take the function $Log\left(log\left(\frac{R}{||x||}\right)\right)$ in $B_R$ (ball of center zero) but i cant see that its is in $W^{m,p}$.