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arXiv · 1404.5082

On convergence and normality theorems of local homeomorphisms of Orlicz-Sobolev classes

Evgeny Sevost'yanov
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Abstract

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.

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Evgeny Sevost'yanov. 2014-04-20. On convergence and normality theorems of local homeomorphisms of Orlicz-Sobolev classes. https://arxiv.org/abs/1404.5082

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