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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.12053 |
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| _version_ | 1866909174119530496 |
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| author | Grimaldi, Antonio Giuseppe Ipocoana, Erica |
| author_facet | Grimaldi, Antonio Giuseppe Ipocoana, Erica |
| contents | We study the regularity properties of Hölder continuous minimizers to non-autonomous functionals satisfying $(p,q)$-growth conditions, under Besov assumptions on the coefficients. In particular, we are able to prove higher integrability and higher differentiability results for solutions to our minimum problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12053 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity results for Hölder minimizers to functionals with non-standard growth Grimaldi, Antonio Giuseppe Ipocoana, Erica Analysis of PDEs We study the regularity properties of Hölder continuous minimizers to non-autonomous functionals satisfying $(p,q)$-growth conditions, under Besov assumptions on the coefficients. In particular, we are able to prove higher integrability and higher differentiability results for solutions to our minimum problem. |
| title | Regularity results for Hölder minimizers to functionals with non-standard growth |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.12053 |