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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2406.19174 |
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| _version_ | 1866913406594842624 |
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| author | Grimaldi, Antonio Giuseppe Mascolo, Elvira di Napoli, Antonia Passarelli |
| author_facet | Grimaldi, Antonio Giuseppe Mascolo, Elvira di Napoli, Antonia Passarelli |
| contents | We prove the local Lipschitz regularity of the local minimizers of scalar integral functionals of the form \begin{equation*} \mathcal{F}(v;Ω)= \int_Ω f (x, Dv) dx \end{equation*} under $(p,q)$-growth conditions. The main novelty is that, beside a suitable regularity assumption on the partial map $x\mapsto f(x,ξ)$, we do not assume any special structure for the energy density as a function of the $ξ$-variable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19174 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity for minimizers of scalar integral functionals Grimaldi, Antonio Giuseppe Mascolo, Elvira di Napoli, Antonia Passarelli Analysis of PDEs We prove the local Lipschitz regularity of the local minimizers of scalar integral functionals of the form \begin{equation*} \mathcal{F}(v;Ω)= \int_Ω f (x, Dv) dx \end{equation*} under $(p,q)$-growth conditions. The main novelty is that, beside a suitable regularity assumption on the partial map $x\mapsto f(x,ξ)$, we do not assume any special structure for the energy density as a function of the $ξ$-variable. |
| title | Regularity for minimizers of scalar integral functionals |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.19174 |