Regularity results for a quasilinear free boundary problem

In this paper we prove local interior and boundary Lipschitz continuity of the solutions of a quasilinear free boundary problem. We also show that the free boundary is the union of graphs of lower semi-continuous functions.

Bibliographic Details
Main Authors: Samia Challal, Abdeslem Lyaghfouri
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2020-05-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/10659