HÖLDER CONTINUITY FOR THE SOLUTIONS OF THE p(x)-LAPLACE EQUATION WITH GENERAL RIGHT-HAND SIDE

Research output: Contribution to journalArticlepeer-review

Abstract

We show that bounded solutions of the quasilinear elliptic equation ∆p(x) u = g + div(F) are locally Hölder continuous provided that the functions g and F are in suitable Lebesgue spaces.

Original languageEnglish
Pages (from-to)35-47
Number of pages13
JournalGlasnik Matematicki
Volume57
Issue number1
DOIs
Publication statusPublished - Jun 28 2022

Keywords

  • Hölder continuity
  • p(x)-Laplacian

ASJC Scopus subject areas

  • General Mathematics

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