On a Robin (p,q)-equation with a logistic reaction

oleh: Nikolaos S. Papageorgiou, Calogero Vetro, Francesca Vetro

Format: Article
Diterbitkan: AGH Univeristy of Science and Technology Press 2019-01-01

Deskripsi

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.