Regularity results for a quasilinear free boundary problem

Samia Challal, Abdeslem Lyaghfouri

Research output: Contribution to journalArticlepeer-review

3 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 languageEnglish
Pages (from-to)338-350
Number of pages13
JournalMathematical Modelling and Analysis
Volume25
Issue number3
DOIs
Publication statusPublished - May 13 2020
Externally publishedYes

Keywords

  • A-Laplacian
  • Free boundary
  • Lipschitz continuity

ASJC Scopus subject areas

  • Analysis
  • Modelling and Simulation

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