Regularity of flat free boundaries for a p(x)-Laplacian problem with right hand side

Ferrari, Fausto; Lederman, Claudia Beatriz

info:eu-repo/semantics/article

Fecha

2021-11

Registro en:

Ferrari, Fausto; Lederman, Claudia Beatriz; Regularity of flat free boundaries for a p(x)-Laplacian problem with right hand side; Pergamon-Elsevier Science Ltd; Journal Of Nonlinear Analysis; 212; 11-2021; 1-25

0362-546X

http://hdl.handle.net/11336/164955

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4395996

Autor

Ferrari, Fausto

Lederman, Claudia Beatriz

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

FREE BOUNDARY PROBLEM

NON-ZERO RIGHT HAND SIDE

REGULARITY OF THE FREE BOUNDARY

SINGULAR/DEGENERATE OPERATOR

VARIABLE EXPONENT SPACES

VISCOSITY SOLUTIONS

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