On equicontinuity of mappings with branching in the closure of a domain
Sevost'yanov, Evgeny
الأصل · EN
In the present paper, questions about a local behavior of mappings f:D→ Rⁿ, n≥ 2, in D are studied. Under some conditions on a measurable function Q(x), Q:D→ [0, ∞], and boundaries of D and D′=f(D), it is showed that a family of open discrete mapping f:D→ Rⁿ, n≥ 2, with characteristic of quasiconformality Q(x), is equicontinuous in D.
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