Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917115071561728 |
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| author | Leone, Chiara Scilla, Giovanni Solombrino, Francesco Verde, Anna |
| author_facet | Leone, Chiara Scilla, Giovanni Solombrino, Francesco Verde, Anna |
| contents | The optimal local Lipschitz regularity for scalar almost-minimizers of Alt-Caffarelli-type functionals $$
\mathcal{F}({v}; Ω) = \int_Ωφ(x,\left|\nabla v(x) \right|)+ λχ_{\{{v} >0\}} (x) \, \mathrm{d}x\,,
$$ with growth function $φ$ a generalized Orlicz function, is established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01393 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth Leone, Chiara Scilla, Giovanni Solombrino, Francesco Verde, Anna Analysis of PDEs 35R35, 35J60 The optimal local Lipschitz regularity for scalar almost-minimizers of Alt-Caffarelli-type functionals $$ \mathcal{F}({v}; Ω) = \int_Ωφ(x,\left|\nabla v(x) \right|)+ λχ_{\{{v} >0\}} (x) \, \mathrm{d}x\,, $$ with growth function $φ$ a generalized Orlicz function, is established. |
| title | Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth |
| topic | Analysis of PDEs 35R35, 35J60 |
| url | https://arxiv.org/abs/2508.01393 |