Abstract
We study the local behavior of closed-open discrete mappings of the Orlicz–Sobolev classes in ℝ n ; n ≥ 3: It is proved that the indicated mappings have continuous extensions to an isolated boundary point x 0 of a domain D/{x 0}, whenever its inner dilatation of order p ∈ (n − 1; n] has FMO (finite mean oscillation) at this point, and, in addition, the limit sets of f at x 0 and on ∂D are disjoint. Another sufficient condition for the possibility of a continuous extension can be formulated as a condition of divergence of a certain integral.
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