VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Positive solutions for the Robin ▫$p$▫-Laplacian plus an indefinite potential
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a nonlinear elliptic equation driven by the Robin ▫$p$▫-Laplacian plus an indefinite potential. In the reaction we have the competing effects of a strictly ▫$(p-1)$▫-sublinear parametric ... term and of a ▫$(p-1)$▫-linear and nonuniformly nonresonant term. We study the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies. We prove a bifurcation-type result for large values of the positive parameter ▫$\lambda$▫. Also, we show that for all admissible ▫$\lambda > 0$▫, the problem has a smallest positive solution ▫$\overline{u}_\lambda$▫ and we study the monotonicity and continuity properties of the map ▫$\lambda \mapsto \overline{u}_\lambda$▫.
    Vir: Pure and applied functional analysis : an international journal. - ISSN 2189-3756 (Vol. 5, no. 15, 2020, str. 1217-1236)
    Vrsta gradiva - članek, sestavni del
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 32039427

    Povezava(-e):

    http://www.ybook.co.jp/online2/oppafa/vol5/p1217.html
    Repozitorij Univerze v Ljubljani – RUL

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