On the continuity of the free boundary in problems of type div(a(x)∇ u) = - (h(x)x(u))x1

S. Challal, A. Lyaghfouri

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We consider a class of two-dimensional free boundary problems including the heterogeneous dam, lubrication and aluminium electrolysis problems. We prove the Lipschitz continuity of the solution and the continuity of the free boundary.

Original languageEnglish
Pages (from-to)283-300
Number of pages18
JournalNonlinear Analysis, Theory, Methods and Applications
Volume62
Issue number2
DOIs
Publication statusPublished - Jul 15 2005
Externally publishedYes

Keywords

  • Barrier function
  • Continuity
  • Free boundary
  • Lipschitz continuity

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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