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.
Papageorgiou, N.S., Vetro, C., & Vetro, F. (2019). On a robin (p, q)-equation with a logistic reaction. OPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA, 39(2), 227-245 [10.7494/OpMath.2019.39.2.227].
Data di pubblicazione: | 2019 | |
Titolo: | On a robin (p, q)-equation with a logistic reaction | |
Autori: | ||
Citazione: | Papageorgiou, N.S., Vetro, C., & Vetro, F. (2019). On a robin (p, q)-equation with a logistic reaction. OPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA, 39(2), 227-245 [10.7494/OpMath.2019.39.2.227]. | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.7494/OpMath.2019.39.2.227 | |
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. | |
URL: | https://www.opuscula.agh.edu.pl/vol39/2/art/opuscula_math_3915.pdf | |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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