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arXiv · 2508.01393

Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth

Chiara Leone·Giovanni Scilla·Francesco Solombrino·Anna Verde
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Abstract

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.

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Chiara Leone, Giovanni Scilla, Francesco Solombrino, Anna Verde. 2025-12-01. Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth. https://arxiv.org/abs/2508.01393

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