The refined area formula for Sobolev mappings $W^{k,p}$
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918115746512896 |
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| author | Hashash, Paz |
| author_facet | Hashash, Paz |
| contents | We establish the area formula for change-of-variable mappings in the Sobolev space $W^{k,p}_{\text{loc}}$. Our approach relies on constructing Lipschitz approximations of Sobolev functions that agree with the original functions outside a set of Riesz capacity zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03880 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The refined area formula for Sobolev mappings $W^{k,p}$ Hashash, Paz Analysis of PDEs We establish the area formula for change-of-variable mappings in the Sobolev space $W^{k,p}_{\text{loc}}$. Our approach relies on constructing Lipschitz approximations of Sobolev functions that agree with the original functions outside a set of Riesz capacity zero. |
| title | The refined area formula for Sobolev mappings $W^{k,p}$ |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.03880 |