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  • Positive solutions for ▫$(p, 2)$▫-equations with superlinear reaction and a concave boundary term [Elektronski vir]
    Papageorgiou, Nikolaos, 1958- ; Scapellato, Andrea
    We consider a nonlinear boundary value problem driven by the ▫$(p, 2)$▫-Laplacian, with a ▫$(p-1)$▫-superlinear reaction and a parametric concave boundary term (a "concave-convex" problem). Using ... variational tools (critical point theory) together with truncation and comparison techniques, we prove a bifurcation type theorem describing the changes in the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies. We also show that for every admissible parameter ▫$\lambda > 0$▫, the problem has a minimal positive solution ▫$\overline{u}_\lambda$▫ and determine the monotonicity and continuity properties of the map ▫$\lambda \mapsto \overline{u}_\lambda$▫.
    Vir: Electronic journal of qualitative theory of differential equations [Elektronski vir]. - ISSN 1417-3875 (Vol. 2020, 2020, art. 4 (19 str.))
    Vrsta gradiva - e-članek ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 18936665

    Povezava(-e):

    http://www.math.u-szeged.hu/ejqtde/p8087.pdf
    DOI

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