Strong existence for free-discontinuity problems with non-standard growth
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914791093698560 |
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| author | Leone, Chiara Scilla, Giovanni Solombrino, Francesco Verde, Anna |
| author_facet | Leone, Chiara Scilla, Giovanni Solombrino, Francesco Verde, Anna |
| contents | An Ahlfors-type regularity result for free-discontinuity energies defined on the space $SBV^φ$ of special functions of bounded variation with $φ$-growth, where $φ$ is a generalized Orlicz function, is proved. Our analysis expands on the regularity theory for minimizers of a class of free-discontinuity problems in the non-standard growth case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06625 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong existence for free-discontinuity problems with non-standard growth Leone, Chiara Scilla, Giovanni Solombrino, Francesco Verde, Anna Analysis of PDEs 49J45, 46E30, 35B65 An Ahlfors-type regularity result for free-discontinuity energies defined on the space $SBV^φ$ of special functions of bounded variation with $φ$-growth, where $φ$ is a generalized Orlicz function, is proved. Our analysis expands on the regularity theory for minimizers of a class of free-discontinuity problems in the non-standard growth case. |
| title | Strong existence for free-discontinuity problems with non-standard growth |
| topic | Analysis of PDEs 49J45, 46E30, 35B65 |
| url | https://arxiv.org/abs/2405.06625 |