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arXiv · 1504.03295

On boundary behavior of one class of mappings on Riemannian manifolds

Evgeny Sevost'yanov
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Abstract

Theorems on continuous extension on boundary for one class of open discrete mappings between Riemannian manifolds are obtained. In particular, there is proved that, open discrete ring $Q$-mappings $f:D\rightarrow D^{\,\prime}$ are extend to $\partial D$ whenever $\partial D$ is locally connected, $\partial D^{\,\prime}$ is strongly accessible, and a function $Q$ has finite mean oscillation at $\partial D.$

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Evgeny Sevost'yanov. 2015-04-13. On boundary behavior of one class of mappings on Riemannian manifolds. https://arxiv.org/abs/1504.03295

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