Global regularity estimates for non-divergence elliptic equations on weighted variable Lebesgue spaces

The Quan Bui, The Anh Bui*, Xuan Thinh Duong

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

This paper is to prove global regularity estimates for solutions to the second-order elliptic equation in non-divergence form with BMO coefficients in a C1,1 domain on weighted variable exponent Lebesgue spaces. Our approach is based on the representations for the solutions to the non-divergence elliptic equations and the domination technique by sparse operators in harmonic analysis.

Original languageEnglish
Article number2050014
JournalCommunications in Contemporary Mathematics
Early online date10 Mar 2020
DOIs
Publication statusE-pub ahead of print - 10 Mar 2020

Keywords

  • bounded mean oscillation (BMO) space
  • Non-divergence elliptic equation
  • weighted variable exponent Lebesgue space

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