Regularity for multi-phase problems at nearly linear growth
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917829311201280 |
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| author | De Filippis, Filomena Piccinini, Mirco |
| author_facet | De Filippis, Filomena Piccinini, Mirco |
| contents | Minima of the log-multiphase variational integral $$
w \mapsto \int_Ω \left[|Dw|\log(1+|Dw|) + a(x)|Dw|^q + b(x)|Dw|^s\right] \, {\rm d}x\,, $$ have locally Hölder continuous gradient under sharp quantitative bounds linking the growth powers $(q,s)$ to the Hölder exponents of the modulating coefficients $a(\cdot)$ and $b(\cdot)$ respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02186 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity for multi-phase problems at nearly linear growth De Filippis, Filomena Piccinini, Mirco Analysis of PDEs Functional Analysis 49N60, 35J60 Minima of the log-multiphase variational integral $$ w \mapsto \int_Ω \left[|Dw|\log(1+|Dw|) + a(x)|Dw|^q + b(x)|Dw|^s\right] \, {\rm d}x\,, $$ have locally Hölder continuous gradient under sharp quantitative bounds linking the growth powers $(q,s)$ to the Hölder exponents of the modulating coefficients $a(\cdot)$ and $b(\cdot)$ respectively. |
| title | Regularity for multi-phase problems at nearly linear growth |
| topic | Analysis of PDEs Functional Analysis 49N60, 35J60 |
| url | https://arxiv.org/abs/2401.02186 |