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 journalArticlepeer-review

    5 Citations (Scopus)

    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
    Pages (from-to)2050014-1-2050014-26
    Number of pages26
    JournalCommunications in Contemporary Mathematics
    Volume23
    Issue number5
    Early online date10 Mar 2020
    DOIs
    Publication statusPublished - Aug 2021

    Keywords

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

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