We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non-zero right hand side. We apply the tools developed in De Silva (2011) to prove that flat free boundaries are C1,α. Moreover, we obtain some new results for the operator under consideration that are of independent interest.
Regularity of flat free boundaries for a p(x)-Laplacian problem with right hand side
Ferrari F.
;Lederman C.
2021
Abstract
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non-zero right hand side. We apply the tools developed in De Silva (2011) to prove that flat free boundaries are C1,α. Moreover, we obtain some new results for the operator under consideration that are of independent interest.File in questo prodotto:
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NA212-2021.pdf
Open Access dal 15/06/2023
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