Hölder continuity of solutions to the A-laplace equation involving measures

Samia Challal, Abdeslem Lyaghfouri

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

We show an optimal Hölder continuity for the solutions of the equation - ΔAu = μ provided that μ (B(x, r)) ≤ Cr n-1 for any ball B(x, r) ⊂ Ω, with r ≤ 1.

Original languageEnglish
Pages (from-to)1577-1583
Number of pages7
JournalCommunications on Pure and Applied Analysis
Volume8
Issue number5
DOIs
Publication statusPublished - Sept 2009
Externally publishedYes

Keywords

  • A-Laplacian
  • Hölder continuity
  • Radon measure

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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