On boundary extension of unclosed Orlicz-Sobolev mappings
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912886239002624 |
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| author | Desyatka, Victoria Halyts'ka, Alina Sevost'yanov, Evgeny |
| author_facet | Desyatka, Victoria Halyts'ka, Alina Sevost'yanov, Evgeny |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18123 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On boundary extension of unclosed Orlicz-Sobolev mappings Desyatka, Victoria Halyts'ka, Alina Sevost'yanov, Evgeny Complex Variables 30C65 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. |
| title | On boundary extension of unclosed Orlicz-Sobolev mappings |
| topic | Complex Variables 30C65 |
| url | https://arxiv.org/abs/2504.18123 |