Optimal local Lipschitz regularity for scalar almost minimizers of two-phase free-boundary functionals F(v;Ω):=∫Ωφ(x,|∇v|)+λ1χ{v<0}+λ2χ{v>0}+min{λ1,λ2}χ{v=0}dx, with growth function φ a generalized Orlicz function and λ1,λ2 nonnegative bounded functions, is established, assuming a "small" density for either the positivity or the negativity set.
Lipschitz regularity of almost-minimizers in two-phase free boundary problems with generalized Orlicz growth / Leone, Chiara; Scilla, Giovanni; Solombrino, Francesco; Verde, Anna. - (2025).
Lipschitz regularity of almost-minimizers in two-phase free boundary problems with generalized Orlicz growth
CHIARA LEONE;GIOVANNI SCILLA;FRANCESCO SOLOMBRINO;ANNA VERDE
2025
Abstract
Optimal local Lipschitz regularity for scalar almost minimizers of two-phase free-boundary functionals F(v;Ω):=∫Ωφ(x,|∇v|)+λ1χ{v<0}+λ2χ{v>0}+min{λ1,λ2}χ{v=0}dx, with growth function φ a generalized Orlicz function and λ1,λ2 nonnegative bounded functions, is established, assuming a "small" density for either the positivity or the negativity set.File in questo prodotto:
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