2014/04/20 by Evgeny Sevost’yanov, Evgeny Sevost'yanov, Sevost'yanov, Evgeny
Mathematics · #30C65 #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #math.CV #msc:30C65
paper · pdf · doi:10.48550/arxiv.1404.5082
14 pages, in Russian
arxiv created 2014/04/20 · openalex publication_date 2014/04/20 · arxiv updated 2014/04/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
There are investigated problems connected with local and boundary properties of Orlicz--Sobolev classes of finite distortion which are actively studied last time. It is showed that, a locally uniform limit of local homeomorphisms of Orlicz--Sobolev class is a local homeomorphism or a constant whenever it's dilatations satisfy corresponding restrictions. Besides that, at some additional conditions, it is showed that, a locally uniform limit of the mappings mentioned above is a local homeomorphism or a constant.