INVESTIGADORES
LEDERMAN Claudia Beatriz
artículos
Título:
Regularity of flat free boundaries for a p(x)-Laplacian problem with right hand side
Autor/es:
FERRARI, FAUSTO; LEDERMAN, CLAUDIA
Revista:
JOURNAL OF NONLINEAR ANALYSIS
Editorial:
PERGAMON-ELSEVIER SCIENCE LTD
Referencias:
Año: 2021 vol. 212 p. 1 - 25
ISSN:
0362-546X
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.
