On boundary extension of unclosed Orlicz-Sobolev mappings
Complex Variables
2026-02-10 v2
Abstract
This paper is devoted to the study of the boundary behavior of Orlicz-Sobolev classes that may not preserve the boundary under mapping. Under certain conditions, we show that these mappings have a continuous extension to the boundary of definition domain.
Keywords
Cite
@article{arxiv.2504.18123,
title = {On boundary extension of unclosed Orlicz-Sobolev mappings},
author = {Victoria Desyatka and Alina Halyts'ka and Evgeny Sevost'yanov},
journal= {arXiv preprint arXiv:2504.18123},
year = {2026}
}