Let $u$ be a weak solution of a quasilinear elliptic equation of the growth $p$ with a measure right hand term $\mu$. We estimate $u\left(z\right)$ at an interior point $z$ of the domain $\Omega$, or an irregular boundary point $z\in \partial \Omega$, in terms of a norm of $u$, a nonlinear potential of $\mu$ and the Wiener integral of ${𝐑}^n\setminus \Omega$. This quantifies the result on necessity of the Wiener criterion.