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arXiv · 2504.18123

On boundary extension of unclosed Orlicz-Sobolev mappings

Victoria Desyatka·Alina Halyts'ka·Evgeny Sevost'yanov
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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.

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Victoria Desyatka, Alina Halyts'ka, Evgeny Sevost'yanov. 2025-04-25. On boundary extension of unclosed Orlicz-Sobolev mappings. https://arxiv.org/abs/2504.18123

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