Regularity results for a quasilinear free boundary problem

Samia Challal; Abdeslem Lyaghfouri

doi:10.3846/mma.2020.10659

Regularity results for a quasilinear free boundary problem

Samia Challal, Abdeslem Lyaghfouri

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	338-350
Number of pages	13
Journal	Mathematical Modelling and Analysis
Volume	25
Issue number	3
DOIs	https://doi.org/10.3846/mma.2020.10659
Publication status	Published - May 13 2020
Externally published	Yes

Keywords

A-Laplacian
Free boundary
Lipschitz continuity

ASJC Scopus subject areas

Analysis
Modelling and Simulation

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10.3846/mma.2020.10659

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title = "Regularity results for a quasilinear free boundary problem",

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.",

keywords = "A-Laplacian, Free boundary, Lipschitz continuity",

author = "Samia Challal and Abdeslem Lyaghfouri",

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year = "2020",

month = may,

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doi = "10.3846/mma.2020.10659",

language = "English",

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AU - Lyaghfouri, Abdeslem

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KW - A-Laplacian

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KW - Lipschitz continuity

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Regularity results for a quasilinear free boundary problem

Abstract

Keywords

ASJC Scopus subject areas

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