Geodesic
Asymptotic curves and asymptotic values for mappings with weighted bounded $(p,q)$-distortion
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2016), pp. 90-94

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We prove that a mapping with weighted bounded $(p,q)$-distortion can be extended by continuity to a set whose family of asymptotic curves has modulus zero. We also establish a counterpart to Iversen's theorem for a mapping with weighted bounded $(n,n)$-distortion.
Keywords: mapping with weighted bounded $(p,q)$-distortion, capacity, modulus, asymptotic curve, asymptotic value. 
@article{IVM_2016_1_a9,
     author = {M. V. Tryamkin},
     title = {Asymptotic curves and asymptotic values for mappings with weighted bounded $(p,q)$-distortion},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {90--94},
     publisher = {mathdoc},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_1_a9/}
}
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M. V. Tryamkin. Asymptotic curves and asymptotic values for mappings with weighted bounded $(p,q)$-distortion. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2016), pp. 90-94. http://geodesic.mathdoc.fr/item/IVM_2016_1_a9/