VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Positive solutions and bifurcation phenomena for nonlinear elliptic equations of logistic type: the superdiffusive case
    Filippakis, Michael E. ; O'Regan, Donal ; Papageorgiou, Nikolaos, 1958-
    We consider a nonlinear elliptic equation of logistic type, driven by the ▫$p$▫-Laplacian differential operator with a general superdiffusive reaction. We show that the equation exhibits a ... bifurcation phenomenon. Namely there is a critical value ▫$\lambda_*$▫ of the parameter ▫$\lambda > 0$▫ such that, if ▫$\lambda > \lambda_*$▫, the equation has two nontrivial positive smooth solutions, if ▫$\lambda = \lambda_*$▫, then there is one positive solution and, finally, if ▫$\lambda \in (0,\lambda_*)$▫, then there is no positive solution.
    Vir: Communications on pure and applied analysis. - ISSN 1534-0392 (Vol. 9, no. 6, 2010, str. 1507 - 1527)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2010
    Jezik - angleški
    COBISS.SI-ID - 17602649

    Povezava(-e):

    http://dx.doi.org/10.3934/cpaa.2010.9.1507

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