Regularity of flat free boundaries for a $p(x)$-Laplacian problem with right hand side
Analysis of PDEs
2021-06-02 v1
Abstract
We consider viscosity solutions to a one-phase free boundary problem for the -Laplacian with non-zero right hand side. We apply the tools developed in \cite{D} to prove that flat free boundaries are . Moreover, we obtain some new results for the operator under consideration that are of independent interest.
Cite
@article{arxiv.2106.00439,
title = {Regularity of flat free boundaries for a $p(x)$-Laplacian problem with right hand side},
author = {Fausto Ferrari and Claudia Lederman},
journal= {arXiv preprint arXiv:2106.00439},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:0912.2057 by other authors