Optimal local Lipschitz regularity for scalar almost minimizers of Alt-Caffarelli type functionals F(v;Ω) =\int_Ω φ(x,|∇v(x)|) + λχ{v>0}(x)dx, with growth function φ a generalized Orlicz function, is established.
Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth / Leone, Chiara; Scilla, Giovanni; Solombrino, Francesco; Verde, Anna. - (2025), pp. 1-31.
Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth
Chiara Leone;Giovanni Scilla;Anna Verde
2025
Abstract
Optimal local Lipschitz regularity for scalar almost minimizers of Alt-Caffarelli type functionals F(v;Ω) =\int_Ω φ(x,|∇v(x)|) + λχ{v>0}(x)dx, with growth function φ a generalized Orlicz function, is established.File in questo prodotto:
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