A question about the limit of a sequence of uniformly bounded armonic functions

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Given an open set $\Omega \subseteq \mathbb{R}^n$, a sequence of armonic functions $\{u_n\} \subseteq \Omega$ that are uniformly bounded on every compact set of $\Omega$ and that are supposed to reach almost everywhere a limit function $u$, what can we can say about the continuity of $u$?