Equicontinuity of the family of the open discrete Orlicz--Sobolev mappings

2013/03/06 by Evgeny Sevost’yanov, Evgeny Sevost'yanov, Sevost'yanov, Evgeny
Mathematics · #30C62 #30C65 #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #math.CV #msc:30C62 #msc:30C65

paper · pdf · doi:10.48550/arxiv.1303.1337

24 pages, in Russian

openalex publication_date 2013/03/06 · arxiv created 2014/09/17 · arxiv updated 2014/09/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The paper is devoted to the study of mappings with non--bounded characteristics of quasiconformality. We investigate the interconnection between the classes of the so-called ring Q-mappings and lower ring Q-mappings. It is proved that open discrete lower ring Q-mappings are ring Q^n-1-mappings at fixed point. As consequence we obtain the equicontinuity of the class of the open discrete Orlicz--Sobolev mappings with finite distortion at n≥ 3.

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