Geodesic
On the lower order of mappings with finite length distortion
Matematičeskie trudy, Tome 18 (2015) no. 1, pp. 98-117

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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 $f:D\rightarrow \mathbb{R}^n$, $n\ge 2$, whose outer dilatation is integrable to the power $\alpha>n-1$ with finite asymptotic limit have lower order bounded from below. 
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     author = {E. A. Sevostyanov},
     title = {On the lower order of mappings with finite length distortion},
     journal = {Matemati\v{c}eskie trudy},
     pages = {98--117},
     publisher = {mathdoc},
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     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2015_18_1_a4/}
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E. A. Sevostyanov. On the lower order of mappings with finite length distortion. Matematičeskie trudy, Tome 18 (2015) no. 1, pp. 98-117. http://geodesic.mathdoc.fr/item/MT_2015_18_1_a4/