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

Papageorgiou, NS; Vetro, C; Vetro, F

doi:10.7494/OpMath.2019.39.2.227

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.

Data di pubblicazione:	2019
Titolo:	On a robin (p, q)-equation with a logistic reaction
Autori:	Papageorgiou, Nikolaos S. VETRO, Calogero (Corresponding) Vetro, Francesca mostra contributor esterni nascondi contributor esterni
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.
Rivista:	OPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA
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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Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/10447/334786

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