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Browsing by Subject "indefinite potential"

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    Item type:Article, Access status: Open Access ,
    On a Robin (p,q)-equation with a logistic reaction
    (Wydawnictwa AGH, 2019) Papageorgiou, Nikolaos Socrates; Vetro, Calogero; Vetro, Francesca
    We consider a nonlinear nonhomogeneous Robin equation driven by the sum of a $p$-Laplacian and of a $q$-Laplacian ($(p,q)$-equation) plus an indefinite potential term and a parametric reaction of logistic type (superdiffusive case). We prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter $\lambda \gt 0$ varies. Also, we show that for every admissible parameter $\lambda \gt 0$, the problem admits a smallest positive solution.