REGULARITY RESULTS FOR A QUASILINEAR FREE BOUNDARY PROBLEM-Reference-Cited by-同舟云学术

REGULARITY RESULTS FOR A QUASILINEAR FREE BOUNDARY PROBLEM

Published:2020-05-13 Issue:3 Volume:25 Page:338-350
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Challal Samia¹,Lyaghfouri Abdeslem²^ORCID

Affiliation:

1. Glendon College, York University, Department of Mathematics, Toronto, Ontario, Canada

2. American University of Ras Al Khaimah, Department of Mathematics and Natural Sciences, Ras Al Khaimah, UAE

Abstract

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

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