Global Higher Integrability of the Gradient of Weak Solutions of a Quasilinear Elliptic Equation

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Abstract

In this paper, we establish global higher integrability of the gradient of the solution of the quasilinear elliptic equation ΔAu=div(a(|F|)|F|F) in Rn, where Δ A is the so called A-Laplace operator.

Original languageEnglish
Article number178
JournalMediterranean Journal of Mathematics
Volume19
Issue number4
DOIs
Publication statusPublished - Aug 2022

Keywords

  • A-Laplace operator
  • gradient higher integrability
  • Orlicz–Sobolev space

ASJC Scopus subject areas

  • General Mathematics

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