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Keywords:
elliptic equations; Wiener criterion; nonlinear potentials; measure data
elliptic equations; Wiener criterion; nonlinear potentials; measure data
Summary:
Let $u$ be a weak solution of a quasilinear elliptic equation of the growth $p$ with a measure right hand term $\mu$. We estimate $u(z)$ 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 $\bold R^n\setminus \Omega$. This quantifies the result on necessity of the Wiener criterion.
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