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math.AP2025
Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth
Chiara Leone, Giovanni Scilla, Francesco Solombrino +1
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\}…
math.AP2025
Gradient regularity for double-phase orthotropic functionals
Stefano Almi, Chiara Leone, Gianluigi Manzo
We prove higher integrability for local minimizers of the double-phase orthotropic functional \[ \sum_{i=1}^{n}\int_Ω\left(\left|u_{x_i}\right|^p+a(x)\left| u_{x_i}\right|^q\right)…