A family of degenerate elliptic operators: Maximum principle and its consequences

Isabeau Birindelli*, Giulio Galise, Hitoshi Ishii

*この研究の対応する著者

    研究成果: Article査読

    30 被引用数 (Scopus)

    抄録

    In this paper we investigate the validity and the consequences of the maximum principle for degenerate elliptic operators whose higher order term is the sum of k eigenvalues of the Hessian. In particular we shed some light on some very unusual phenomena due to the degeneracy of the operator. We prove moreover Lipschitz regularity results and boundary estimates under convexity assumptions on the domain. As a consequence we obtain the existence of solutions of the Dirichlet problem and of principal eigenfunctions.

    本文言語English
    ジャーナルAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
    DOI
    出版ステータスAccepted/In press - 2017 1月 7

    ASJC Scopus subject areas

    • 分析
    • 数理物理学

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