Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909796831068160 |
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| author | Nguyen, Hoai-Minh |
| author_facet | Nguyen, Hoai-Minh |
| contents | We briefly discuss the contribution of Haïm Brezis and his co-authors on the characterizations of the Sobolev norms and the total variation using non-local functionals. Some ideas of the analysis are given and new results are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00842 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems Nguyen, Hoai-Minh Functional Analysis Classical Analysis and ODEs 26B15, 26B25, 26B30, 42B25 We briefly discuss the contribution of Haïm Brezis and his co-authors on the characterizations of the Sobolev norms and the total variation using non-local functionals. Some ideas of the analysis are given and new results are presented. |
| title | Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems |
| topic | Functional Analysis Classical Analysis and ODEs 26B15, 26B25, 26B30, 42B25 |
| url | https://arxiv.org/abs/2507.00842 |