A boundary expansion of solutions to nonlinear singular elliptic equations

Huaiyu Jian, Jian Lu*, Xu Jia Wang

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    In this paper we establish an asymptotic expansion near the boundary for solutions to the Dirichlet problem of elliptic equations with singularities near the boundary. This expansion formula shows the singularity profile of solutions at the boundary. We deal with both linear and nonlinear elliptic equations, including fully nonlinear elliptic equations and equations of Monge-Ampère type.

    Original languageEnglish
    Pages (from-to)9-30
    Number of pages22
    JournalScience China Mathematics
    Volume65
    Issue number1
    DOIs
    Publication statusPublished - Jan 2022

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