VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Nonlinear, nonhomogeneous parametric Neumann problems
    Aizicovici, Sergiu, 1948- ; Papageorgiou, Nikolaos, 1958- ; Staicu, Vasile, 1960-
    We consider a parametric nonlinear Neumann problem driven by a nonlinear nonhomogeneous differential operator, with a Carathéodory reaction ▫$f$▫ which is ▫$p$▫-superlinear in the second variable, ... but not necessarily satisfying the usual in such cases Ambrosetti-Rabinowitz condition. We prove a bifurcation type result describing the dependence of positive solutions on the parameter ▫$\lambda > 0$▫, show the existence of a smallest positive solution ▫$\overline{u}_{\lambda}$▫ and investigate properties of the map ▫$\lambda \mapsto \overline{u}_{\lambda}$▫. Finally, we show the existence of nodal solutions.
    Vir: Topological Methods in Nonlinear Analysis. - ISSN 1230-3429 (Vol. 48, no. 1, 2016, str. 45-69)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2016
    Jezik - angleški
    COBISS.SI-ID - 17954905