A Continuity Result for a Quasilinear Elliptic Free Boundary Problem

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Abstract

We investigate a two dimensional quasilinear free boundary problem, and show that the free boundary is a union of graphs of continuous functions.

Original languageEnglish
Pages (from-to)67-87
Number of pages21
JournalApplications of Mathematics
Volume65
Issue number1
DOIs
Publication statusPublished - Feb 1 2020
Externally publishedYes

Keywords

  • 35J62
  • 35R35
  • continuity
  • quasilinear elliptic free boundary

ASJC Scopus subject areas

  • Applied Mathematics

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