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  • ▫$(p, 2)$▫-Equations with a crossing nonlinearity and concave terms
    Papageorgiou, Nikolaos, 1958- ; Vetro, Calogero ; Vetro, Francesca
    We consider a parametric Dirichlet problem driven by the sum of a ▫$p$▫-Laplacian ▫$( p>2)$▫ and a Laplacian (a ▫$(p, 2)$▫-equation). The reaction consists of an asymmetric ▫$(p-1)$▫-linear term ... which is resonant as ▫$x \to -\infty$▫, plus a concave term. However, in this case the concave term enters with a negative sign. Using variational tools together with suitable truncation techniques and Morse theory (critical groups), we show that when the parameter is small the problem has at least three nontrivial smooth solutions.
    Vir: Applied mathematics and optimization. - ISSN 0095-4616 (Vol. 81, iss. 2, Feb. 2020, str. 221-251)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 18282073

    Povezava(-e):

    https://doi.org/10.1007/s00245-018-9482-0
    DOI

vir: Applied mathematics and optimization. - ISSN 0095-4616 (Vol. 81, iss. 2, Feb. 2020, str. 221-251)

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