Lipschitz Continuity of Solutions to a Free Boundary Problem involving the A-Laplacian
Analysis of PDEs
2019-06-18 v1
Abstract
In this paper we prove local interior and boundary Lipschitz continuity of solutions of a free boundary problem involving the -Laplacian. We also show that the free boundary is represented locally by graphs of a family of lower semi-continuous functions.
Cite
@article{arxiv.1906.06511,
title = {Lipschitz Continuity of Solutions to a Free Boundary Problem involving the A-Laplacian},
author = {S. Challal and A. Lyaghfouri},
journal= {arXiv preprint arXiv:1906.06511},
year = {2019}
}