Removable sets for hölder continuous p(x)-harmonic functions

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1 Citation (Scopus)


We establish that a closed set E is removable for C 0,α Hölder continuous p(x)-harmonic functions in a bounded open domain Ω of ℝ n, n ≥ 2, provided that for each compact subset K of E, the (n - pK + α(pK - 1))-Hausdorff measure of K is zero, where p K = max x∈K p(x).

Original languageEnglish
Pages (from-to)199-206
Number of pages8
JournalAnalysis and Applications
Issue number2
Publication statusPublished - Apr 2012
Externally publishedYes


  • Hausdorff measure
  • Hölder continuity
  • p(x)-harmonic functions
  • removable sets
  • variable exponents Sobolev spaces

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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