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\}…