On boundary behavior of open discrete mappings on Riemannian manifolds
Complex Variables
2015-12-16 v2
Abstract
For some class of mappings, there are investigated problems connected with a possibility of continuous extension to a boundary on Riemannian manifolds. In particular, for so-called ring mappings, there is proved a result related to continuous extension to an isolated boundary point. Besides that, similar theorems hold for more general boundaries. As application of developed technique, there is proves a theorem about continuous extension of mapping of Orlicz--Sobolev class to an isolated singularity.
Keywords
Cite
@article{arxiv.1508.03278,
title = {On boundary behavior of open discrete mappings on Riemannian manifolds},
author = {D. P. Ilyutko and E. A. Sevost'yanov},
journal= {arXiv preprint arXiv:1508.03278},
year = {2015}
}
Comments
60 pages, in Russian