On a robin (p, q)-equation with a logistic reaction
- Authors: Papageorgiou, Nikolaos S.; Vetro, Calogero; Vetro, Francesca
- Publication year: 2019
- Type: Articolo in rivista (Articolo in rivista)
- Key words: Indefinite potential; Local minimizers; Maximum principle; Minimal positive solutions; Positive solutions; Robin boundary condition; Superdiffusive reaction;
- OA Link: http://hdl.handle.net/10447/334786
Abstract
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 λ > 0 varies. Also, we show that for every admissible parameter λ > 0, the problem admits a smallest positive solution.