Relaxation for a degenerate functional with linear growth in the onedimensional case
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915052657836032 |
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| author | Piat, Valeria Chiadò De Cicco, Virginia Hernandez, Anderson Melchor |
| author_facet | Piat, Valeria Chiadò De Cicco, Virginia Hernandez, Anderson Melchor |
| contents | In this work, we study the relaxation of a degenerate functional with linear growth, depending on a weight $w$ that does not exhibit doubling or Muckenhoupt-type conditions. In order to obtain an explicit representation of the relaxed functional and its domain, our main tools for are Sobolev inequalities with double weight. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05328 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relaxation for a degenerate functional with linear growth in the onedimensional case Piat, Valeria Chiadò De Cicco, Virginia Hernandez, Anderson Melchor Analysis of PDEs 26A15, 49J45 In this work, we study the relaxation of a degenerate functional with linear growth, depending on a weight $w$ that does not exhibit doubling or Muckenhoupt-type conditions. In order to obtain an explicit representation of the relaxed functional and its domain, our main tools for are Sobolev inequalities with double weight. |
| title | Relaxation for a degenerate functional with linear growth in the onedimensional case |
| topic | Analysis of PDEs 26A15, 49J45 |
| url | https://arxiv.org/abs/2412.05328 |