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  • Positive and nodal solutions for nonlinear nonhomogeneous parametric Neumann problems [Elektronski vir]
    Papageorgiou, Nikolaos, 1958- ; Vetro, Calogero ; Vetro, Francesca
    We consider a parametric Neumann problem driven by a nonlinear nonhomogeneous differential operator plus an indefinite potential term. The reaction term is superlinear but does not satisfy the ... Ambrosetti-Rabinowitz condition. First we prove a bifurcation-type result describing in a precise way the dependence of the set of positive solutions on the parameter ▫$\lambda>0$▫. We also show the existence of a smallest positive solution. Similar results hold for the negative solutions and in this case we have a biggest negative solution. Finally using the extremal constant sign solutions we produce a smooth nodal solution.
    Type of material - e-article
    Publish date - 2020
    Language - english
    COBISS.SI-ID - 18912345