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

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

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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.
Lingua originaleEnglish
pagine (da-a)227-245
Numero di pagine19
RivistaOPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA
Volume39
Stato di pubblicazionePublished - 2019

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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