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.

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 25; no. 3; pp. 338 - 350
Main Authors Challal, Samia, Lyaghfouri, Abdeslem
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 13.05.2020
Subjects
A-Laplacian
Boundary value problems
Continuity (Mathematics)
Free boundaries
free boundary
Lipschitz continuity
Mathematical research
Canada
United Arab Emirates
free boundary
A-Laplacian
Lipschitz continuity
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Summary: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.
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ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2020.10659