Abstract
We study the problem of the so-called lower order for one kind of mappings with finite distortion, actively investigated in the recent 15–20 years.We prove that mappings with finite length distortion f: D → ℝn, n ≥ 2, whose outer dilatation is integrable to the power α > n − 1 with finite asymptotic limit have lower order bounded from below.
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Original Russian Text © E.A. Sevostyanov, 2015, published in Matematicheskie Trudy, 2015, Vol. 18, No. 1, pp. 98–117.
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Sevostyanov, E.A. On the lower order of mappings with finite length distortion. Sib. Adv. Math. 26, 126–138 (2016). https://doi.org/10.3103/S1055134416020048
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DOI: https://doi.org/10.3103/S1055134416020048