Inequality for regular function

Question

Let $ u \in C_0^{\infty}( \mathbb{R}^N),\ N \geq 2. $ Is it true that $$ \left|u(x)\right| \leq c \int_{\mathbb{R}^N} \frac{\left| \nabla u (y)\right|}{\left|x-y\right|^{N-1}},\ \forall\ x \in \mathbb{R}^N? $$ where $ c $ is a constant.